58824 has 48 divisors (see below), whose sum is σ = 171600. Its totient is φ = 18144.

The previous prime is 58789. The next prime is 58831. The reversal of 58824 is 42885.

58824 = T₁₇ + T₁₈ + ... + T₇₀.

58824 is nontrivially palindromic in base 7.

58824 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

58824 is a nontrivial repdigit in base 7.

It is a plaindrome in base 7 and base 15.

It is a nialpdrome in base 7 and base 9.

It is a zygodrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58824.

It is an unprimeable number.

58824 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 11 ways as a sum of consecutive naturals, for example, 1347 + ... + 1389.

It is an arithmetic number, because the mean of its divisors is an integer number (3575).

2⁵⁸⁸²⁴ 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 58824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85800).

58824 is an abundant number, since it is smaller than the sum of its proper divisors (112776).

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

58824 is a wasteful number, since it uses less digits than its factorization.

58824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 67 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 58824 is about 242.5365951769. The cubic root of 58824 is about 38.8912155826.

It can be divided in two parts, 5882 and 4, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 58824 in words is "fifty-eight thousand, eight hundred twenty-four".