58144 has 24 divisors (see below), whose sum is σ = 120960. Its totient is φ = 27456.

The previous prime is 58129. The next prime is 58147. The reversal of 58144 is 44185.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58147) 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, 697 + ... + 775.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁵⁸¹⁴⁴ 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 58144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

58144 is an abundant number, since it is smaller than the sum of its proper divisors (62816).

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

58144 is a wasteful number, since it uses less digits than its factorization.

58144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 58144 is about 241.1306699696. The cubic root of 58144 is about 38.7407747724.

It can be divided in two parts, 581 and 44, that added together give a 4-th power (625 = 5⁴).

The spelling of 58144 in words is "fifty-eight thousand, one hundred forty-four".