57164541 has 16 divisors (see below), whose sum is σ = 87552000. Its totient is φ = 32498928.

The previous prime is 57164533. The next prime is 57164551. The reversal of 57164541 is 14546175.

It is not a de Polignac number, because 57164541 - 2³ = 57164533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57164551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2661 + ... + 11018.

It is an arithmetic number, because the mean of its divisors is an integer number (5472000).

Almost surely, 2^57164541 is an apocalyptic number.

It is an amenable number.

57164541 is a deficient number, since it is larger than the sum of its proper divisors (30387459).

57164541 is a wasteful number, since it uses less digits than its factorization.

57164541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13888.

The product of its digits is 16800, while the sum is 33.

The square root of 57164541 is about 7560.7235764839. The cubic root of 57164541 is about 385.2200709536.

The spelling of 57164541 in words is "fifty-seven million, one hundred sixty-four thousand, five hundred forty-one".