57642 has 16 divisors (see below), whose sum is σ = 124320. Its totient is φ = 17712.

The previous prime is 57641. The next prime is 57649. The reversal of 57642 is 24675.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (57641) 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 7 ways as a sum of consecutive naturals, for example, 292 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (7770).

2⁵⁷⁶⁴² is an apocalyptic number.

57642 is an abundant number, since it is smaller than the sum of its proper divisors (66678).

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 (62160).

57642 is a wasteful number, since it uses less digits than its factorization.

57642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757.

The product of its digits is 1680, while the sum is 24.

The square root of 57642 is about 240.0874840553. The cubic root of 57642 is about 38.6289598060.

The spelling of 57642 in words is "fifty-seven thousand, six hundred forty-two".