57116 has 12 divisors (see below), whose sum is σ = 101640. Its totient is φ = 28080.

The previous prime is 57107. The next prime is 57119. The reversal of 57116 is 61175.

It is a magnanimous number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57116.

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

57116 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 3 ways as a sum of consecutive naturals, for example, 371 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (8470).

2⁵⁷¹¹⁶ is an apocalyptic number.

It is an amenable number.

57116 is a deficient number, since it is larger than the sum of its proper divisors (44524).

57116 is a wasteful number, since it uses less digits than its factorization.

57116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 242 counting only the distinct ones).

The product of its digits is 210, while the sum is 20.

The square root of 57116 is about 238.9895395200. The cubic root of 57116 is about 38.5111004142.

The spelling of 57116 in words is "fifty-seven thousand, one hundred sixteen".