Number of the day: 5981

Properties of the number 5981:

5981 is a cyclic number.
5981 is the 782^th prime.
5981 has 9 antidivisors and 5980 totatives.
5981 has a prime digit sum 23 in base 10.
5981 has sum of divisors equal to 5982 which is a sphenic number.
Reversing the decimal digits of 5981 results in a semiprime.
5981 = 2991² - 2990² is the difference of 2 nonnegative squares in 1 way.
5981 is the difference of 2 positive pentagonal numbers in 1 way.
5981 = 50² + 59² is the sum of 2 positive squares in 1 way.
5981 = 11² + 26² + 72² is the sum of 3 positive squares.
5981² = 981² + 5900² is the sum of 2 positive squares in 1 way.
5981² is the sum of 3 positive squares.
5981 is a proper divisor of 1433⁵ - 1.
5981 is an emirp in (at least) the following bases: 4, 9, 21, 23, 34, 40, 43, 51, 57, 61, 64, 66, 72, 77, 81, 83, 84, 86, 88, 89, 92, 95, and 97.
5981 is palindromic in (at least) the following bases: 2, 29, 65, -36, -43, -49, and -92.
5981 in base 4 = 1131131 and consists of only the digits '1' and '3'.
5981 in base 28 = 7hh and consists of only the digits '7' and 'h'.
5981 in base 29 = 737 and consists of only the digits '3' and '7'.
5981 in base 31 = 66t and consists of only the digits '6' and 't'.
5981 in base 34 = 55v and consists of only the digits '5' and 'v'.
5981 in base 44 = 33f and consists of only the digits '3' and 'f'.
5981 in base 54 = 22f and consists of only the digits '2' and 'f'.

The number 5981 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A016041: Primes that are palindromic in base 2 (but written here in base 10).
A040984: Primes p such that x^23 = 2 has no solution mod p.
A077323: Final terms of rows of A077321.
A127340: Primes that are the sum of 11 consecutive primes.
A136065: Mother primes of order 6.
A141779: Numbers n such that A120292(n) is composite.
A142508: Primes congruent to 1 mod 52.
A154616: Primes of the form (4*n^2-8*n-9)/3.
A158712: Primes p such that p1=Floor[p/2]+p is prime and p2=Ceiling[p1/2]+p is prime.
A215560: a(n) = 3*a(n-1) + 46*a(n-2) + a(n-3) with a(0)=a(1)=3, a(2)=101.