57220 has 12 divisors (see below), whose sum is σ = 120204. Its totient is φ = 22880.

The previous prime is 57203. The next prime is 57221. The reversal of 57220 is 2275.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26244 + 30976 = 162^2 + 176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57194 and 57203.

It is not an unprimeable number, because it can be changed into a prime (57221) by changing a digit.

57220 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 3 ways as a sum of consecutive naturals, for example, 1411 + ... + 1450.

It is an arithmetic number, because the mean of its divisors is an integer number (10017).

2⁵⁷²²⁰ is an apocalyptic number.

It is an amenable number.

57220 is an abundant number, since it is smaller than the sum of its proper divisors (62984).

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 (60102).

57220 is a wasteful number, since it uses less digits than its factorization.

57220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 57220 is about 239.2070233083. The cubic root of 57220 is about 38.5344606283.

Adding to 57220 its reverse (2275), we get a palindrome (59495).

Subtracting from 57220 its reverse (2275), we obtain a palindrome (54945).

It can be divided in two parts, 5 and 7220, that multiplied together give a square (36100 = 190²).

The spelling of 57220 in words is "fifty-seven thousand, two hundred twenty".