56925 has 36 divisors (see below), whose sum is σ = 116064. Its totient is φ = 26400.

The previous prime is 56923. The next prime is 56929. The reversal of 56925 is 52965.

56925 = 6² + 7² + ... + 55².

56925 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 56925 - 2¹ = 56923 is a prime.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (2700) is a multiple of the sum of its prime factors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56921) 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 35 ways as a sum of consecutive naturals, for example, 2464 + ... + 2486.

It is an arithmetic number, because the mean of its divisors is an integer number (3224).

2⁵⁶⁹²⁵ is an apocalyptic number.

56925 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56925 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58032).

56925 is a wasteful number, since it uses less digits than its factorization.

56925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 42 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 56925 is about 238.5896058088. The cubic root of 56925 is about 38.4681245132.

The spelling of 56925 in words is "fifty-six thousand, nine hundred twenty-five".