57852 has 18 divisors (see below), whose sum is σ = 146328. Its totient is φ = 19272.

The previous prime is 57847. The next prime is 57853. The reversal of 57852 is 25875.

It is a happy number.

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

It is a nialpdrome in base 9.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57853) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 768 + ... + 839.

2⁵⁷⁸⁵² is an apocalyptic number.

It is an amenable number.

57852 is an abundant number, since it is smaller than the sum of its proper divisors (88476).

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

57852 is a wasteful number, since it uses less digits than its factorization.

57852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1612 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 57852 is about 240.5244270339. The cubic root of 57852 is about 38.6758136637.

It can be divided in two parts, 578 and 52, that added together give a triangular number (630 = T₃₅).

The spelling of 57852 in words is "fifty-seven thousand, eight hundred fifty-two".