12967
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12968
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12966
- Möbius Function
- -1
- Radical
- 12967
- Omega Function (Ω)
- 1
- 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
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 107
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1544
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of basic invariants for cyclic group of order and degree n.at n=20A002956
- Primes that remain prime through 3 iterations of function f(x) = 9x + 4.at n=28A023297
- Smallest prime containing n-th square as substring.at n=36A029948
- Smallest nontrivial extension of n-th square which is a prime.at n=35A030685
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 66 ones.at n=12A031834
- Denominators of continued fraction convergents to sqrt(862).at n=10A042665
- a(n) = a(n-1) + a(n - 1 minus the number of terms of a(k) == n (mod 3) so far).at n=39A060730
- a(n) = 10*n^2 + 7.at n=36A061722
- Smallest prime containing the n-th square in decimal notation.at n=35A065144
- Smallest prime that begins with the n-th square in decimal notation.at n=35A065145
- Smallest prime with same leading digits as 6^n.at n=4A068846
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d = 2, 4 or 6) and forming d-pattern = [6, 6, 4]; short d-string notation of pattern = [664].at n=10A078858
- Primes p such that the sum of the digits of p is not prime, but the sum of the cubes of the digits of p is prime.at n=15A091365
- Numbers n such that A064168(n) is prime.at n=67A123538
- Numbers such that the sum of the factorials of the digits of the cube is a square.at n=35A126076
- Values of A134204(n) for n in A133242.at n=27A133243
- Primes that are simultaneously of the forms 24i+7 and 7j+24.at n=33A137657
- Primes congruent to 11 mod 41.at n=36A142208
- Primes congruent to 24 mod 43.at n=35A142273
- Primes congruent to 42 mod 47.at n=30A142393