5239624 has 32 divisors (see below), whose sum is σ = 10725120. Its totient is φ = 2385216.

The previous prime is 5239603. The next prime is 5239627. The reversal of 5239624 is 4269325.

5239624 = 2² + 3² + ... + 250².

It is a super-2 number, since 2×5239624² = 54907319322752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5239627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8329 + ... + 8935.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 2^5239624 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 5239624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362560).

5239624 is an abundant number, since it is smaller than the sum of its proper divisors (5485496).

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

5239624 is a wasteful number, since it uses less digits than its factorization.

5239624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 705 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 5239624 is about 2289.0224987972. The cubic root of 5239624 is about 173.6867575159.

Subtracting from 5239624 its reverse (4269325), we obtain a cube (970299 = 99³).

The spelling of 5239624 in words is "five million, two hundred thirty-nine thousand, six hundred twenty-four".