57182112 has 120 divisors (see below), whose sum is σ = 181213956. Its totient is φ = 17584128.

The previous prime is 57182107. The next prime is 57182119. The reversal of 57182112 is 21128175.

57182112 is a `hidden beast` number, since 571 + 82 + 1 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56610576 + 571536 = 7524^2 + 756^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (57182119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32848 + ... + 34544.

Almost surely, 2^57182112 is an apocalyptic number.

57182112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57182112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90606978).

57182112 is an abundant number, since it is smaller than the sum of its proper divisors (124031844).

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

57182112 is a wasteful number, since it uses less digits than its factorization.

57182112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1715 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

The square root of 57182112 is about 7561.8854791646. The cubic root of 57182112 is about 385.2595360273.

The spelling of 57182112 in words is "fifty-seven million, one hundred eighty-two thousand, one hundred twelve".