Numberwise

1225

1,225 is both a perfect square and a triangular number.

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Where 1225 fits

Where 1225 fits: Mathematics, Related numbersMathematics: Perfect square, Triangular number, Powerful number, Hexagonal number. Related numbers: 36, 40755.MathematicsPerfect squareTriangular numberPowerful numberHexagonal numberRelated numbers36407551225
1225 connects to 2 worlds: mathematics, related numbers.

Why 1225 is special

It is 35 squared and the sum of the numbers from 1 to 49. Numbers that are both are rare and thin out quickly — 1, 36, 1225, 41616 — and they satisfy a Pell equation, which is why they can be generated rather than searched for.

Factors & digit properties

Divisors (9)
1, 5, 7, 25, 35, 49, 175, 245, 1225
Prime factorisation
5^2 × 7^2
Digit sum
10
Digital root
1

Representations

Decimal
1225
Binary
10011001001
Octal
2311
Hexadecimal
4c9
Roman numeral
MCCXXV
Scientific notation
1.225 × 10^3

Other mathematical patterns

  • Triangular number
  • Deficient number
  • Powerful number
  • Hexagonal number

Related numbers & connections

Connection
Both are square and triangular at once. The sequence runs 1, 36, 1225, 41616 and thins so fast that the fourth term is already beyond most catalogues.

Both are square and triangular at once. The sequence runs 1, 36, 1225, 41616 and thins so fast that the fourth term is already beyond most catalogues.

View 36

Other connections

  • is associated with36
    why?

    Strength 0.50, confidence "high".

  • is associated with40755
    why?

    Strength 0.50, confidence "high".

How is 1225 connected to another number? →

Mathematics

  • 1,225 is 35 squared and also 1 + 2 + … + 49. Square triangular numbers are scarce and follow a generating rule from Pell's equation, so the sequence can be produced directly rather than found by testing.

    DocumentedMathematics

Common questions

Is 1225 a prime number?

No, 1225 is not prime.

What are the factors of 1225?

The factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225.

What is 1225 in Roman numerals?

1225 in Roman numerals is MCCXXV.

About this page's data

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

Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.

Last reviewed: 3 August 2026