57492 has 18 divisors (see below), whose sum is σ = 145418. Its totient is φ = 19152.

The previous prime is 57487. The next prime is 57493. The reversal of 57492 is 29475.

57492 is a `hidden beast` number, since 574 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 15876 = 204^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57493) by changing a digit.

57492 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 5 ways as a sum of consecutive naturals, for example, 763 + ... + 834.

2⁵⁷⁴⁹² is an apocalyptic number.

It is an amenable number.

57492 is an abundant number, since it is smaller than the sum of its proper divisors (87926).

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

57492 is a wasteful number, since it uses less digits than its factorization.

57492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1602 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 57492 is about 239.7748944323. The cubic root of 57492 is about 38.5954230481.

It can be divided in two parts, 574 and 92, that added together give a palindrome (666).

The spelling of 57492 in words is "fifty-seven thousand, four hundred ninety-two".