57534 has 16 divisors (see below), whose sum is σ = 118272. Its totient is φ = 18648.

The previous prime is 57529. The next prime is 57557. The reversal of 57534 is 43575.

It is a super-2 number, since 2×57534² = 6620322312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (7392).

2⁵⁷⁵³⁴ is an apocalyptic number.

57534 is an abundant number, since it is smaller than the sum of its proper divisors (60738).

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 (59136).

57534 is a wasteful number, since it uses less digits than its factorization.

57534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271.

The product of its digits is 2100, while the sum is 24.

The square root of 57534 is about 239.8624605894. The cubic root of 57534 is about 38.6048192145.

The spelling of 57534 in words is "fifty-seven thousand, five hundred thirty-four".