56277 has 18 divisors (see below), whose sum is σ = 90402. Its totient is φ = 33696.

The previous prime is 56269. The next prime is 56299. The reversal of 56277 is 77265.

It can be written as a sum of positive squares in 3 ways, for example, as 2916 + 53361 = 54^2 + 231^2 .

It is not a de Polignac number, because 56277 - 2³ = 56269 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56277.

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 56277.

It is not an unprimeable number, because it can be changed into a prime (56207) 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 17 ways as a sum of consecutive naturals, for example, 1503 + ... + 1539.

2⁵⁶²⁷⁷ is an apocalyptic number.

It is an amenable number.

56277 is a deficient number, since it is larger than the sum of its proper divisors (34125).

56277 is a wasteful number, since it uses less digits than its factorization.

56277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 53 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 56277 is about 237.2277386816. The cubic root of 56277 is about 38.3216011145.

It can be divided in two parts, 56 and 277, that added together give a palindrome (333).

The spelling of 56277 in words is "fifty-six thousand, two hundred seventy-seven".