56757 has 4 divisors (see below), whose sum is σ = 75680. Its totient is φ = 37836.

The previous prime is 56747. The next prime is 56767. The reversal of 56757 is 75765.

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 an interprime number because it is at equal distance from previous prime (56747) and next prime (56767).

It is not a de Polignac number, because 56757 - 2⁷ = 56629 is a prime.

It is a D-number.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56737) 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 3 ways as a sum of consecutive naturals, for example, 9457 + ... + 9462.

It is an arithmetic number, because the mean of its divisors is an integer number (18920).

2⁵⁶⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

56757 is a deficient number, since it is larger than the sum of its proper divisors (18923).

56757 is a wasteful number, since it uses less digits than its factorization.

56757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18922.

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

The square root of 56757 is about 238.2372766802. The cubic root of 56757 is about 38.4302441853.

The spelling of 56757 in words is "fifty-six thousand, seven hundred fifty-seven".