58224 has 20 divisors (see below), whose sum is σ = 150536. Its totient is φ = 19392.

The previous prime is 58217. The next prime is 58229. The reversal of 58224 is 42285.

58224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 58224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58229) by changing a digit.

58224 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 3 ways as a sum of consecutive naturals, for example, 559 + ... + 654.

2⁵⁸²²⁴ is an apocalyptic number.

It is an amenable number.

58224 is an abundant number, since it is smaller than the sum of its proper divisors (92312).

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 (75268).

58224 is a wasteful number, since it uses less digits than its factorization.

58224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1218 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 58224 is about 241.2964981097. The cubic root of 58224 is about 38.7585343672.

It can be divided in two parts, 582 and 24, that added together give a palindrome (606).

The spelling of 58224 in words is "fifty-eight thousand, two hundred twenty-four".