56564 has 12 divisors (see below), whose sum is σ = 100800. Its totient is φ = 27768.

The previous prime is 56543. The next prime is 56569. The reversal of 56564 is 46565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56569) by changing a digit.

56564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 227 + ... + 405.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2⁵⁶⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

56564 is a deficient number, since it is larger than the sum of its proper divisors (44236).

56564 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (56563) it forms an eRAP, since the sums of their prime factors are consecutive (261 and 262).

56564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 56564 is about 237.8318733896. The cubic root of 56564 is about 38.3866345268.

Subtracting from 56564 its reverse (46565), we obtain a palindrome (9999).

The spelling of 56564 in words is "fifty-six thousand, five hundred sixty-four".