56657 has 4 divisors (see below), whose sum is σ = 57780. Its totient is φ = 55536.

The previous prime is 56633. The next prime is 56659. The reversal of 56657 is 75665.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 22801 = 184^2 + 151^2 .

It is a cyclic number.

It is not a de Polignac number, because 56657 - 2⁸ = 56401 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56657.

It is not an unprimeable number, because it can be changed into a prime (56659) 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, 482 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (14445).

2⁵⁶⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

56657 is a deficient number, since it is larger than the sum of its proper divisors (1123).

56657 is a wasteful number, since it uses less digits than its factorization.

56657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122.

The product of its digits is 6300, while the sum is 29.

The square root of 56657 is about 238.0273093576. The cubic root of 56657 is about 38.4076608703.

The spelling of 56657 in words is "fifty-six thousand, six hundred fifty-seven".