1367
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1368
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1366
- Möbius Function
- -1
- Radical
- 1367
- 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
- 39
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 219
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that divide at least one term in every Fibonacci sequence.at n=45A000057
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=13A000353
- Primes with 5 as smallest primitive root.at n=32A001124
- From a Goldbach conjecture: records in A185091.at n=21A002092
- Erroneous version of A028491.at n=7A004060
- Class 4- primes (for definition see A005109).at n=31A005112
- Safe primes p: (p-1)/2 is also prime.at n=30A005385
- Related to representations as sums of Fibonacci numbers.at n=30A006133
- Numbers k such that k-6, k, and k+6 are primes.at n=35A006489
- Balanced primes (of order one): primes which are the average of the previous prime and the following prime.at n=19A006562
- Primes of form x^3 + y^3 + z^3 where x,y,z > 0.at n=35A007490
- Numbers n such that 2^n - 2^((n + 1)/2) + 1 is prime.at n=13A007670
- Coordination sequence T1 for Zeolite Code EAB.at n=27A008082
- Coordination sequence T1 for Zeolite Code ERI and OFF.at n=27A008093
- Coordination sequence T5 for Zeolite Code EUO.at n=23A008100
- Coordination sequence T5 for Zeolite Code MTW.at n=24A008200
- Molien series for A_4.at n=44A008627
- Number of partitions of n into at most 7 parts.at n=28A008636
- a(n) = n^2 - 2.at n=36A008865
- Expansion of Molien series for automorphism group (2.Weyl(E6)) of E6 lattice.at n=38A014977