Number of the day: 5879

Properties of the number 5879:

5879 is a cyclic number.
5879 and 5881 form a twin prime pair.
5879 has 5 antidivisors and 5878 totatives.
5879 has a prime digit sum 29 in base 10.
Reversing the decimal digits of 5879 results in a sphenic number.
5879 = 2940² - 2939² is the difference of 2 nonnegative squares in 1 way.
5879 is the difference of 2 positive pentagonal numbers in 1 way.
5879 is not the sum of 3 positive squares.
5879² is the sum of 3 positive squares.
5879 is a proper divisor of 2²⁹³⁹ - 1.
5879 is an emirp in (at least) the following bases: 7, 9, 13, 16, 19, 31, 40, 45, 49, 59, 61, 68, 69, 72, 75, 85, 92, 96, 97, and 99.
5879 is palindromic in (at least) the following bases: 33, and -52.
5879 in base 32 = 5nn and consists of only the digits '5' and 'n'.
5879 in base 33 = 5d5 and consists of only the digits '5' and 'd'.

The number 5879 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A053983: a(n) = (2*n-1)*a(n-1) - a(n-2), a(0)=a(1)=1.
A073609: a(0) = 2; a(n) for n > 0 is the smallest prime greater than a(n-1) that differs from a(n-1) by a square.
A100827: Highly cototient numbers: records for a(n) in A063741.
A158713: Primes p such that p1=Ceiling[p/2]+p is prime and p2=Ceiling[p1/2]+p is prime.
A181602: Primes p such that p-1 is a semiprime and p+2 is prime or prime squared.
A181669: Primes p of the form 6n-1 such that p-1 is a semiprime and p+2 is prime or prime squared.
A186589: T(n,k)=Number of (n+3)X(k+3) 0..2 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock
A221655: T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out left turns
A255528: G.f.: Product_{k>=1} 1/(1+x^k)^k.
A267019: T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo n and the upper left element equal to 0.