12167
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12720
- Proper Divisor Sum (Aliquot Sum)
- 553
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11638
- Möbius Function
- 0
- Radical
- 23
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 1
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
- yes
- 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
- 63
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- The cubes: a(n) = n^3.at n=23A000578
- Sum of cubes of primes dividing n.at n=22A005064
- Sum of cubes of odd primes dividing n.at n=45A005067
- Sum of cubes of odd primes dividing n.at n=22A005067
- Sum of cubes of primes = 2 mod 3 dividing n.at n=22A005076
- Sum of cubes of primes = 2 mod 3 dividing n.at n=68A005076
- Sum of cubes of primes = 3 mod 4 dividing n.at n=22A005084
- Sum of cubes of primes = 3 mod 4 dividing n.at n=45A005084
- a(n) = norm of Heilbronn sum NH_{p}, with p = prime(n).at n=4A006310
- Powers of 23.at n=3A009967
- a(n) = 23^(2*n + 1).at n=1A013728
- a(n) = 23^(4*n + 3).at n=0A013819
- a(n) = 23^(5*n + 3).at n=0A013908
- Integers n such that n divides 24^n - 1.at n=4A014960
- Odd cubes: a(n) = (2*n + 1)^3.at n=11A016755
- a(n) = (3*n + 2)^3.at n=7A016791
- a(n) = (4*n+3)^3.at n=5A016839
- a(n) = (5*n+3)^3.at n=4A016887
- a(n) = (6*n + 5)^3.at n=3A016971
- a(n) = (7*n + 2)^3.at n=3A017007