56975 has 12 divisors (see below), whose sum is σ = 73656. Its totient is φ = 43680.

The previous prime is 56963. The next prime is 56983. The reversal of 56975 is 57965.

56975 = 3² + 4² + ... + 55².

It is not a de Polignac number, because 56975 - 2⁶ = 56911 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1049 + ... + 1101.

It is an arithmetic number, because the mean of its divisors is an integer number (6138).

2⁵⁶⁹⁷⁵ is an apocalyptic number.

56975 is a deficient number, since it is larger than the sum of its proper divisors (16681).

56975 is a wasteful number, since it uses less digits than its factorization.

56975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 101 counting only the distinct ones).

The product of its digits is 9450, while the sum is 32.

The square root of 56975 is about 238.6943652456. The cubic root of 56975 is about 38.4793840263.

Subtracting 56975 from its reverse (57965), we obtain a triangular number (990 = T₄₄).

The spelling of 56975 in words is "fifty-six thousand, nine hundred seventy-five".