57342 has 16 divisors (see below), whose sum is σ = 120960. Its totient is φ = 18072.

The previous prime is 57331. The next prime is 57347. The reversal of 57342 is 24375.

57342 = T₆₈ + T₆₉ + ... + T₈₆.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57347) by changing a digit.

57342 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, 138 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁵⁷³⁴² is an apocalyptic number.

57342 is an abundant number, since it is smaller than the sum of its proper divisors (63618).

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 (60480).

57342 is a wasteful number, since it uses less digits than its factorization.

57342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527.

The product of its digits is 840, while the sum is 21.

The square root of 57342 is about 239.4618967602. The cubic root of 57342 is about 38.5618279064.

The spelling of 57342 in words is "fifty-seven thousand, three hundred forty-two".