12329
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12330
- 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
- 12328
- Möbius Function
- -1
- Radical
- 12329
- 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
- 187
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1473
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 52 ones.at n=36A031820
- Denominators of continued fraction convergents to sqrt(887).at n=10A042715
- Primes p such that x^67 = 2 has no solution mod p.at n=23A059330
- a(n) is the smallest prime p such that p*n! +- 1 are twin primes.at n=39A064998
- Primes expressible as the sum of (at least two) consecutive primes in at least 3 ways.at n=18A067379
- Primes of the form x^2 + (x+3)^2.at n=19A076727
- A014486-indices of A083932-trees.at n=26A083934
- Prime mean of 8 horizontal, vertical and main diagonal sums associated with primes in A094454.at n=12A094455
- Balanced primes of order five.at n=29A096697
- Primes for which the weight as defined in A117078 is 15 and the gap as defined in A001223 is 14.at n=17A118380
- Smaller of two consecutive Sophie Germain primes with the same digital sum.at n=29A118506
- Values of A134204(n) for n in A133242.at n=26A133243
- Primes p such that p^3 +- (p+1) are primes.at n=20A137472
- Primes of the form n^2+8.at n=9A138338
- Primes congruent to 8 mod 37.at n=37A142117
- Primes congruent to 29 mod 41.at n=36A142226
- Primes congruent to 31 mod 43.at n=36A142280
- Primes congruent to 15 mod 47.at n=32A142366
- Primes congruent to 30 mod 49.at n=35A142439
- Primes congruent to 33 mod 53.at n=31A142563