565
BWV 565 is the Toccata and Fugue in D minor.
- Odd
- Composite
Where 565 fits
Why 565 is special
It is the most famous organ work in the repertoire and a substantial body of scholarship argues Bach did not write it, largely on stylistic grounds.
Factors & digit properties
- Divisors (4)
- 1, 5, 113, 565
- Prime factorisation
- 5 × 113
- Digit sum
- 16
- Digital root
- 7
Representations
- Decimal
- 565
- Scientific notation
- 5.650 × 10^2
Roman numerals
D L X V
Binary
1 0 0 0 1 1 0 1 0 1
1 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 1 × 1 = 565
Octal
1 0 6 5
1 × 512 + 0 × 64 + 6 × 8 + 5 × 1 = 565
Hexadecimal
2 3 5
2 × 256 + 3 × 16 + 5 × 1 = 565
Read as powers of two: 512 + 32 + 16 + 4 + 1 = 565.
In historical numeral systems
Egyptian
5 coils of rope, 6 hobbles, 5 strokes
5 × 100 + 6 × 10 + 5 × 1 = 565. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
9 vertical wedges (sixties place), 2 corner wedges + 5 vertical wedges (units place)
9 × 60 + 25 = 565. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
phi, then xi, then epsilon, marked as a numeral
phi-xi-epsilon + keraia
phi + xi + epsilon written in descending order and added — the letters carry their values wherever they stand, so this is addition, not place value.
Hebrew numerals
tav, then qof, then samekh, then he
tav-qof-samekh-he
tav (400) + qof (100) + samekh (60) + he (5) = 565, written in descending order.
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
- Palindromic number
- Deficient number
- Happy number
- Semiprime
Related numbers & connections
BWV 565 is a thematic catalogue number. Bach's works are identified by BWV number because titles are ambiguous and numbering is not.
One is questioned on attribution and the other is named only to distinguish it from a third work.
View 578 →Numbers Around Us
- appears inNumbers assigned as identifiers
why?
Strength 0.50, confidence "high".
Other connections
- is associated with578
why?
Strength 0.50, confidence "high".
Media & popular culture
BWV 565 survives only in a copy made decades after Bach's death. Features including parallel octaves and unusual figuration have led several scholars to question the attribution, which remains unresolved.
DocumentedMedia & popular cultureGeography: GermanyPeriod: catalogue 1950
Common questions
Is 565 a prime number?
No, 565 is not prime.
What are the factors of 565?
The factors of 565 are 1, 5, 113, 565.
What is 565 in Roman numerals?
565 in Roman numerals is DLXV.
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: 15 July 2026