57084 has 24 divisors (see below), whose sum is σ = 137088. Its totient is φ = 18480.

The previous prime is 57077. The next prime is 57089. The reversal of 57084 is 48075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57089) by changing a digit.

57084 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 7 ways as a sum of consecutive naturals, for example, 769 + ... + 839.

It is an arithmetic number, because the mean of its divisors is an integer number (5712).

2⁵⁷⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

57084 is an abundant number, since it is smaller than the sum of its proper divisors (80004).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544).

57084 is a wasteful number, since it uses less digits than its factorization.

57084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 57084 is about 238.9225816033. The cubic root of 57084 is about 38.5039069516.

Subtracting from 57084 its reverse (48075), we obtain a palindrome (9009).

The spelling of 57084 in words is "fifty-seven thousand, eighty-four".