56637 has 24 divisors (see below), whose sum is σ = 99840. Its totient is φ = 30240.

The previous prime is 56633. The next prime is 56659. The reversal of 56637 is 73665.

It is not a de Polignac number, because 56637 - 2² = 56633 is a prime.

Its product of digits (3780) is a multiple of the sum of its prime divisors (70).

56637 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 56637.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56637.

It is not an unprimeable number, because it can be changed into a prime (56633) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1812 + ... + 1842.

It is an arithmetic number, because the mean of its divisors is an integer number (4160).

2⁵⁶⁶³⁷ is an apocalyptic number.

It is an amenable number.

56637 is a deficient number, since it is larger than the sum of its proper divisors (43203).

56637 is a wasteful number, since it uses less digits than its factorization.

56637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 70 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 56637 is about 237.9852936633. The cubic root of 56637 is about 38.4031410191.

The spelling of 56637 in words is "fifty-six thousand, six hundred thirty-seven".