11867
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11868
- 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
- 11866
- Möbius Function
- -1
- Radical
- 11867
- 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
- 73
- 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
- 1423
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- The $620 prime list.at n=6A018188
- Lower prime of a difference of 20 between consecutive primes.at n=24A031938
- Least prime in A031938 (lesser of primes differing by 20) whose distance to the next 20-twin is 6*n.at n=16A052359
- Largest prime below prime(n)^2 (A001248).at n=28A054270
- Discriminants of imaginary quadratic fields with class number 25 (negated).at n=21A056987
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 16.at n=29A095651
- Smallest prime equal to the sum of n distinct squares.at n=30A100559
- Numbers k such that 11k = 6j^2 + 6j + 1.at n=26A106388
- Primes p such that index of p, the sum of p's digits and the number of p's digits are all primes.at n=30A109982
- Number of partitions of n such that largest part k occurs at most floor(k/2) times.at n=33A118084
- Numbers k such that 2^k, 3^k, 5^k, 7^k, 11^k, 13^k, 17^k and 19^k have even digit sum.at n=36A119897
- Primes in A023108(n); or Lychrel primes.at n=26A135316
- Primes congruent to 27 mod 37.at n=37A142136
- Primes congruent to 18 mod 41.at n=33A142215
- Primes congruent to 42 mod 43.at n=33A142291
- Primes congruent to 23 mod 47.at n=29A142374
- Primes congruent to 9 mod 49.at n=35A142421
- Primes congruent to 48 mod 53.at n=27A142578
- Primes congruent to 42 mod 55.at n=37A142631
- Primes congruent to 11 mod 57.at n=40A142672