57112 has 24 divisors (see below), whose sum is σ = 119700. Its totient is φ = 25520.

The previous prime is 57107. The next prime is 57119. The reversal of 57112 is 21175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57119) by changing a digit.

57112 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 5 ways as a sum of consecutive naturals, for example, 939 + ... + 997.

2⁵⁷¹¹² 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 57112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59850).

57112 is an abundant number, since it is smaller than the sum of its proper divisors (62588).

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

57112 is a wasteful number, since it uses less digits than its factorization.

57112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its digits is 70, while the sum is 16.

The square root of 57112 is about 238.9811708064. The cubic root of 57112 is about 38.5102013783.

Adding to 57112 its reverse (21175), we get a palindrome (78287).

Subtracting from 57112 its reverse (21175), we obtain a cube (35937 = 33³).

It can be divided in two parts, 57 and 112, that added together give a square (169 = 13²).

The spelling of 57112 in words is "fifty-seven thousand, one hundred twelve".