56577 has 4 divisors (see below), whose sum is σ = 75440. Its totient is φ = 37716.

The previous prime is 56569. The next prime is 56591. The reversal of 56577 is 77565.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 56577 - 2³ = 56569 is a prime.

It is a D-number.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56577.

It is not an unprimeable number, because it can be changed into a prime (56527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9427 + ... + 9432.

It is an arithmetic number, because the mean of its divisors is an integer number (18860).

It is a Proth number, since it is equal to 221 ⋅ 2⁸ + 1 and 221 < 2⁸.

2⁵⁶⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

56577 is a deficient number, since it is larger than the sum of its proper divisors (18863).

56577 is a wasteful number, since it uses less digits than its factorization.

56577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18862.

The product of its digits is 7350, while the sum is 30.

The square root of 56577 is about 237.8592020503. The cubic root of 56577 is about 38.3895750781.

The spelling of 56577 in words is "fifty-six thousand, five hundred seventy-seven".