5624 has 16 divisors (see below), whose sum is σ = 11400. Its totient is φ = 2592.

The previous prime is 5623. The next prime is 5639. The reversal of 5624 is 4265.

It is a Cunningham number, because it is equal to 75²-1.

5624 is an admirable number.

It is a plaindrome in base 5 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5623) 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, 134 + ... + 170.

2⁵⁶²⁴ is an apocalyptic number.

It is an amenable number.

5624 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (5700).

5624 is a wasteful number, since it uses less digits than its factorization.

5624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 58 counting only the distinct ones).

The product of its digits is 240, while the sum is 17.

The square root of 5624 is about 74.9933330370. The cubic root of 5624 is about 17.7834125657.

Adding to 5624 its reverse (4265), we get a palindrome (9889).

The spelling of 5624 in words is "five thousand, six hundred twenty-four".