56652 has 12 divisors (see below), whose sum is σ = 132216. Its totient is φ = 18880.

The previous prime is 56633. The next prime is 56659. The reversal of 56652 is 25665.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (56659) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2349 + ... + 2372.

It is an arithmetic number, because the mean of its divisors is an integer number (11018).

2⁵⁶⁶⁵² is an apocalyptic number.

It is an amenable number.

56652 is an abundant number, since it is smaller than the sum of its proper divisors (75564).

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 (66108).

56652 is a wasteful number, since it uses less digits than its factorization.

56652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 4726 counting only the distinct ones).

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

The square root of 56652 is about 238.0168061293. The cubic root of 56652 is about 38.4065310072.

The spelling of 56652 in words is "fifty-six thousand, six hundred fifty-two".