56265 has 24 divisors (see below), whose sum is σ = 102144. Its totient is φ = 26400.

The previous prime is 56263. The next prime is 56267.

56265 is nontrivially palindromic in base 10 and base 13.

It is an interprime number because it is at equal distance from previous prime (56263) and next prime (56267).

It is not a de Polignac number, because 56265 - 2¹ = 56263 is a prime.

Its product of digits (1800) is a multiple of the sum of its prime divisors (50).

56265 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1800 + ... + 1830.

It is an arithmetic number, because the mean of its divisors is an integer number (4256).

2⁵⁶²⁶⁵ is an apocalyptic number.

56265 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56265 is a deficient number, since it is larger than the sum of its proper divisors (45879).

56265 is a wasteful number, since it uses less digits than its factorization.

56265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 50 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 56265 is about 237.2024451813. The cubic root of 56265 is about 38.3188771367.

The spelling of 56265 in words is "fifty-six thousand, two hundred sixty-five".