57546 has 24 divisors (see below), whose sum is σ = 131040. Its totient is φ = 18216.

The previous prime is 57529. The next prime is 57557. The reversal of 57546 is 64575.

It is an unprimeable number.

57546 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 345 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2⁵⁷⁵⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

57546 is an abundant number, since it is smaller than the sum of its proper divisors (73494).

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

57546 is a wasteful number, since it uses less digits than its factorization.

57546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 167 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 57546 is about 239.8874736204. The cubic root of 57546 is about 38.6075029935.

The spelling of 57546 in words is "fifty-seven thousand, five hundred forty-six".