58112 has 18 divisors (see below), whose sum is σ = 116508. Its totient is φ = 28928.

The previous prime is 58111. The next prime is 58129. The reversal of 58112 is 21185.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (58111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 143 + ... + 369.

2⁵⁸¹¹² 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 58112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58254).

58112 is an abundant number, since it is smaller than the sum of its proper divisors (58396).

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

58112 is an equidigital number, since it uses as much as digits as its factorization.

58112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its digits is 80, while the sum is 17.

The square root of 58112 is about 241.0643067731. The cubic root of 58112 is about 38.7336663732.

Adding to 58112 its reverse (21185), we get a palindrome (79297).

The spelling of 58112 in words is "fifty-eight thousand, one hundred twelve".