57305164 has 48 divisors (see below), whose sum is σ = 122411520. Its totient is φ = 22913280.

The previous prime is 57305161. The next prime is 57305191. The reversal of 57305164 is 46150375.

It is not an unprimeable number, because it can be changed into a prime (57305161) 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, 61897 + ... + 62815.

It is an arithmetic number, because the mean of its divisors is an integer number (2550240).

Almost surely, 2^57305164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57305164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61205760).

57305164 is an abundant number, since it is smaller than the sum of its proper divisors (65106356).

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

57305164 is a wasteful number, since it uses less digits than its factorization.

57305164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 57305164 is about 7570.0174372322. The cubic root of 57305164 is about 385.5356887719.

The spelling of 57305164 in words is "fifty-seven million, three hundred five thousand, one hundred sixty-four".