57000 has 64 divisors (see below), whose sum is σ = 187200. Its totient is φ = 14400.

The previous prime is 56999. The next prime is 57037. The reversal of 57000 is 75.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2991 + ... + 3009.

It is an arithmetic number, because the mean of its divisors is an integer number (2925).

2⁵⁷⁰⁰⁰ is an apocalyptic number.

57000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93600).

57000 is an abundant number, since it is smaller than the sum of its proper divisors (130200).

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

57000 is a wasteful number, since it uses less digits than its factorization.

57000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 12.

The square root of 57000 is about 238.7467277263. The cubic root of 57000 is about 38.4850113128.

Subtracting from 57000 its product of nonzero digits (35), we obtain a palindrome (56965).

Adding to 57000 its reverse (75), we get a palindrome (57075).

The spelling of 57000 in words is "fifty-seven thousand".