57116961 has 24 divisors (see below), whose sum is σ = 93014880. Its totient is φ = 34614360.

The previous prime is 57116953. The next prime is 57116963. The reversal of 57116961 is 16961175.

It is a happy number.

It is not a de Polignac number, because 57116961 - 2³ = 57116953 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57116963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5475 + ... + 12008.

It is an arithmetic number, because the mean of its divisors is an integer number (3875620).

Almost surely, 2^57116961 is an apocalyptic number.

It is an amenable number.

57116961 is a deficient number, since it is larger than the sum of its proper divisors (35897919).

57116961 is a wasteful number, since it uses less digits than its factorization.

57116961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17514 (or 17497 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 57116961 is about 7557.5763972321. The cubic root of 57116961 is about 385.1131640131.

The spelling of 57116961 in words is "fifty-seven million, one hundred sixteen thousand, nine hundred sixty-one".