52644 has 24 divisors (see below), whose sum is σ = 127008. Its totient is φ = 16960.

The previous prime is 52639. The next prime is 52667. The reversal of 52644 is 44625.

It is a happy number.

52644 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 52644.

It is an unprimeable number.

52644 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁵²⁶⁴⁴ is an apocalyptic number.

52644 is the 123-rd nonagonal number.

It is an amenable number.

52644 is an abundant number, since it is smaller than the sum of its proper divisors (74364).

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 (63504).

52644 is a wasteful number, since it uses less digits than its factorization.

52644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 52644 is about 229.4428033302. The cubic root of 52644 is about 37.4785655285.

It can be divided in two parts, 52 and 644, that added together give a palindrome (696).

The spelling of 52644 in words is "fifty-two thousand, six hundred forty-four".