565
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 684
- Proper Divisor Sum (Aliquot Sum)
- 119
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 448
- Möbius Function
- 1
- Radical
- 565
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 17
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- fünfhundertfünfundsechzig· ordinal: fünfhundertfünfundsechzigste
- English
- five hundred sixty-five· ordinal: five hundred sixty-fifth
- Spanish
- quinientos sesenta y cinco· ordinal: 565º
- French
- cinq cent soixante-cinq· ordinal: cinq cent soixante-cinqième
- Italian
- cinquecentosessantacinque· ordinal: 565º
- Latin
- quingenti sexaginta quinque· ordinal: 565.
- Portuguese
- quinhentos e sessenta e cinco· ordinal: 565º
Appears in sequences
- Atom-rooted polyenoids with n edges with symmetry class C_s.at n=7A000908
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 20, 50 cents.at n=54A001313
- Number of n-node rooted trees of height at most 3.at n=12A001383
- Primes multiplied by 5.at n=29A001750
- Divisors of 2^28 - 1.at n=15A003536
- a(n) = floor(n*phi^5), where phi is the golden ratio, A001622.at n=51A004920
- Sequence and first differences (A030124) together list all positive numbers exactly once.at n=29A005228
- P-positions in Epstein's Put or Take a Square game.at n=19A005240
- Mian-Chowla sequence (a B_2 sequence): a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise sums of elements are all distinct.at n=20A005282
- Octal palindromes which are also primes.at n=12A006341
- Add 2, then reverse digits!.at n=53A007396
- Numbers that are the sum of 2 nonzero squares in 2 or more ways.at n=36A007692
- Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes.at n=9A007811
- Number of non-Abelian metacyclic groups of order 2^n.at n=24A007982
- Coordination sequence T1 for Zeolite Code AFR.at n=18A008019
- Coordination sequence T2 for Zeolite Code AFR.at n=18A008020
- Coordination sequence T1 for Zeolite Code EUO.at n=15A008095
- Coordination sequence for Paracelsian.at n=16A008260
- Triangle of D'Arcais numbers.at n=18A008298
- At least 3 out of 10m+1, 10m+3, 10m+7, 10m+9 are primes.at n=51A008470