57500 has 30 divisors (see below), whose sum is σ = 131208. Its totient is φ = 22000.

The previous prime is 57493. The next prime is 57503. The reversal of 57500 is 575.

It is a nialpdrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57500.

It is not an unprimeable number, because it can be changed into a prime (57503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2489 + ... + 2511.

2⁵⁷⁵⁰⁰ is an apocalyptic number.

57500 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 57500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65604).

57500 is an abundant number, since it is smaller than the sum of its proper divisors (73708).

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

57500 is a wasteful number, since it uses less digits than its factorization.

57500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 17.

The square root of 57500 is about 239.7915761656. The cubic root of 57500 is about 38.5972131468.

Adding to 57500 its product of nonzero digits (175), we get a palindrome (57675).

Multiplying 57500 by its reverse (575), we get a square (33062500 = 5750²).

57500 divided by its reverse (575) gives a square (100 = 10²).

The spelling of 57500 in words is "fifty-seven thousand, five hundred".