52624 has 40 divisors (see below), whose sum is σ = 124992. Its totient is φ = 21120.

The previous prime is 52609. The next prime is 52627. The reversal of 52624 is 42625.

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2277 + ... + 2299.

2⁵²⁶²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

52624 is an abundant number, since it is smaller than the sum of its proper divisors (72368).

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

52624 is a wasteful number, since it uses less digits than its factorization.

52624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 49 counting only the distinct ones).

The product of its digits is 480, while the sum is 19.

The square root of 52624 is about 229.3992153430. The cubic root of 52624 is about 37.4738187624.

Subtracting from 52624 its reverse (42625), we obtain a palindrome (9999).

It can be divided in two parts, 52 and 624, that added together give a palindrome (676).

The spelling of 52624 in words is "fifty-two thousand, six hundred twenty-four".