58344 has 64 divisors (see below), whose sum is σ = 181440. Its totient is φ = 15360.

The previous prime is 58337. The next prime is 58363. The reversal of 58344 is 44385.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3424 + ... + 3440.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2⁵⁸³⁴⁴ 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 58344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

58344 is an abundant number, since it is smaller than the sum of its proper divisors (123096).

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

58344 is a wasteful number, since it uses less digits than its factorization.

58344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 46 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 58344 is about 241.5450268583. The cubic root of 58344 is about 38.7851432829.

It can be divided in two parts, 583 and 44, that multiplied together give a palindrome (25652).

The spelling of 58344 in words is "fifty-eight thousand, three hundred forty-four".