12197
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12198
- 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
- 12196
- Möbius Function
- -1
- Radical
- 12197
- 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
- 125
- 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
- 1458
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Next prime after n^3.at n=23A014220
- Smallest prime containing n-th cube as substring.at n=13A029949
- Primes p from A031924 such that A052180(primepi(p)) = 11.at n=25A052232
- Primes which can be expressed as concatenation of cubes.at n=31A066592
- Primes in A058633.at n=41A080822
- a(1)=1, a(2)=2, otherwise a(n) is the sum of the preceding terms a(j), 1<=j<n, where gcd(n,j)=1.at n=17A082866
- Smallest prime of the form 1 followed by a perfect power.at n=9A089773
- First of 9 consecutive primes in a 3 X 3 spiral wherein the mean of all 8 sums is prime.at n=35A094454
- Primes of the form a^4 + b^3 with b>0.at n=26A100271
- Coefficients of the C-Dyson Mod 27 identity.at n=36A104503
- Primes such that the sum of the predecessor and successor primes is divisible by 31.at n=35A113155
- Numbers k such that A007408(k) is prime.at n=24A124877
- Primes of the form 210k + 17.at n=29A140842
- Primes congruent to 24 mod 37.at n=41A142133
- Primes congruent to 20 mod 41.at n=36A142217
- Primes congruent to 28 mod 43.at n=39A142277
- Primes congruent to 24 mod 47.at n=32A142375
- Primes congruent to 45 mod 49.at n=34A142452
- Primes congruent to 7 mod 53.at n=26A142537
- Primes congruent to 42 mod 55.at n=38A142631