52764 has 12 divisors (see below), whose sum is σ = 123144. Its totient is φ = 17584.

The previous prime is 52757. The next prime is 52769. The reversal of 52764 is 46725.

It is a happy number.

52764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52769) 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, 2187 + ... + 2210.

It is an arithmetic number, because the mean of its divisors is an integer number (10262).

2⁵²⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

52764 is an abundant number, since it is smaller than the sum of its proper divisors (70380).

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 (61572).

52764 is a wasteful number, since it uses less digits than its factorization.

52764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4404 (or 4402 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 52764 is about 229.7041575592. The cubic root of 52764 is about 37.5070209077.

The spelling of 52764 in words is "fifty-two thousand, seven hundred sixty-four".