57564117 has 48 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 33575040.

The previous prime is 57564109. The next prime is 57564127. The reversal of 57564117 is 71146575.

57564117 is a `hidden beast` number, since 5 + 7 + 5 + 641 + 1 + 7 = 666.

It is not a de Polignac number, because 57564117 - 2³ = 57564109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57564107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213859 + ... + 214127.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^57564117 is an apocalyptic number.

It is an amenable number.

57564117 is a deficient number, since it is larger than the sum of its proper divisors (36784683).

57564117 is a wasteful number, since it uses less digits than its factorization.

57564117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 375 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 57564117 is about 7587.1020159215. The cubic root of 57564117 is about 386.1155412213.

The spelling of 57564117 in words is "fifty-seven million, five hundred sixty-four thousand, one hundred seventeen".