56355 has 24 divisors (see below), whose sum is σ = 103152. Its totient is φ = 26112.

The previous prime is 56333. The next prime is 56359. The reversal of 56355 is 55365.

56355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56355 - 2⁸ = 56099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56359) by changing a digit.

It is a nontrivial repunit in base 38.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3307 + ... + 3323.

It is an arithmetic number, because the mean of its divisors is an integer number (4298).

2⁵⁶³⁵⁵ is an apocalyptic number.

56355 is a deficient number, since it is larger than the sum of its proper divisors (46797).

56355 is a wasteful number, since it uses less digits than its factorization.

56355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 38 counting only the distinct ones).

The product of its digits is 2250, while the sum is 24.

The square root of 56355 is about 237.3920807441. The cubic root of 56355 is about 38.3392975387.

Subtracting from 56355 its reverse (55365), we obtain a triangular number (990 = T₄₄).

The spelling of 56355 in words is "fifty-six thousand, three hundred fifty-five".