Numberwise

1667

1667 is the year Paradise Lost was published.

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Where 1667 fits

Where 1667 fits: Mathematics, History, Related numbersMathematics: Prime, Twin prime. History: Historical years. Related numbers: 1664.MathematicsPrimeTwin primeHistoryHistorical yearsRelated numbers16641667
1667 connects to 3 worlds: mathematics, history, related numbers.

Why 1667 is special

Milton was blind and dictated it, and sold the copyright for ten pounds. It is the most influential poem in English after Shakespeare's plays, and much popular imagery of Satan comes from it rather than from scripture.

Same number, different meanings

How 1667 is understood across different contexts — never implying one meaning because of another.

Factors & digit properties

Divisors (2)
1, 1667
Prime factorisation
1667
Digit sum
20
Digital root
2

Representations

Decimal
1667
Scientific notation
1.667 × 10^3

Roman numerals

M D C L X V I I

Binary

1 1 0 1 0 0 0 0 0 1 1

1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 1 × 2 + 1 × 1 = 1,667

Octal

3 2 0 3

3 × 512 + 2 × 64 + 0 × 8 + 3 × 1 = 1,667

Hexadecimal

6 8 3

6 × 256 + 8 × 16 + 3 × 1 = 1,667

Read as powers of two: 1,024 + 512 + 128 + 2 + 1 = 1,667.

In historical numeral systems

Egyptian

1 lotus, 6 coils of rope, 6 hobbles, 7 strokes

1 × 1,000 + 6 × 100 + 6 × 10 + 7 × 1 = 1,667. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

2 corner wedges + 7 vertical wedges (sixties place), 4 corner wedges + 7 vertical wedges (units place)

27 × 60 + 47 = 1667. Places are separated by a space on the tablet, with the higher place written first.

Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.

Other mathematical patterns

Related numbers & connections

Documented appearance
1667 is a year in the 17th century, in the 1660s.

1667 is a year in the 17th century, in the 1660s.

Connection
The Dutch surrendered New Amsterdam in 1664 and accepted Suriname in the 1667 settlement, which made economic sense when sugar mattered more than a northern trading post.

The Dutch surrendered New Amsterdam in 1664 and accepted Suriname in the 1667 settlement, which made economic sense when sugar mattered more than a northern trading post.

View 1664

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • developed from1664
    why?

    Strength 0.50, confidence "high".

How is 1667 connected to another number? →

History

  • In 1667, Milton's Paradise Lost was published (England).

    DocumentedHistoryGeography: EnglandPeriod: 1667

Culture

  • A great deal of the popular picture of Satan, Hell and the fall comes from Paradise Lost rather than from the Bible. Milton's inventions have been absorbed as though they were doctrine, which is an unusual afterlife for a poem.

    DocumentedCultureGeography: EnglandPeriod: 1667

Common questions

Is 1667 a prime number?

Yes, 1667 is prime — it has exactly two positive divisors: 1 and itself.

What are the factors of 1667?

The factors of 1667 are 1, 1667.

What is 1667 in Roman numerals?

1667 in Roman numerals is MDCLXVII.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.

Last reviewed: 15 July 2026