56164 has 12 divisors (see below), whose sum is σ = 103600. Its totient is φ = 26568.

The previous prime is 56149. The next prime is 56167. The reversal of 56164 is 46165.

56164 = T₁₉₂ + T₁₉₃ + T₁₉₄.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (56167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 294 + ... + 445.

2⁵⁶¹⁶⁴ is an apocalyptic number.

56164 is the 194-th centered triangular number.

It is an amenable number.

56164 is a deficient number, since it is larger than the sum of its proper divisors (47436).

56164 is a wasteful number, since it uses less digits than its factorization.

56164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 760 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 56164 is about 236.9894512420. The cubic root of 56164 is about 38.2959349602.

Subtracting from 56164 its reverse (46165), we obtain a palindrome (9999).

It can be divided in two parts, 561 and 64, that added together give a 4-th power (625 = 5⁴).

The spelling of 56164 in words is "fifty-six thousand, one hundred sixty-four".