53624 has 8 divisors (see below), whose sum is σ = 100560. Its totient is φ = 26808.

The previous prime is 53623. The next prime is 53629. The reversal of 53624 is 42635.

53624 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 (8).

It is a junction number, because it is equal to n+sod(n) for n = 53596 and 53605.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53624.

It is not an unprimeable number, because it can be changed into a prime (53623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3344 + ... + 3359.

It is an arithmetic number, because the mean of its divisors is an integer number (12570).

2⁵³⁶²⁴ is an apocalyptic number.

It is an amenable number.

53624 is a deficient number, since it is larger than the sum of its proper divisors (46936).

53624 is a wasteful number, since it uses less digits than its factorization.

53624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6705 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 53624 is about 231.5685643605. The cubic root of 53624 is about 37.7096992542.

The spelling of 53624 in words is "fifty-three thousand, six hundred twenty-four".