57820 has 36 divisors (see below), whose sum is σ = 143640. Its totient is φ = 19488.

The previous prime is 57809. The next prime is 57829. The reversal of 57820 is 2875.

It is a junction number, because it is equal to n+sod(n) for n = 57791 and 57800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 951 + ... + 1009.

It is an arithmetic number, because the mean of its divisors is an integer number (3990).

2⁵⁷⁸²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71820).

57820 is an abundant number, since it is smaller than the sum of its proper divisors (85820).

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

57820 is a wasteful number, since it uses less digits than its factorization.

57820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 57820 is about 240.4578965224. The cubic root of 57820 is about 38.6686813589.

Subtracting from 57820 its reverse (2875), we obtain a palindrome (54945).

The spelling of 57820 in words is "fifty-seven thousand, eight hundred twenty".