57213 has 16 divisors (see below), whose sum is σ = 91840. Its totient is φ = 34992.

The previous prime is 57203. The next prime is 57221. The reversal of 57213 is 31275.

It is not a de Polignac number, because 57213 - 2⁶ = 57149 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270 + ... + 432.

It is an arithmetic number, because the mean of its divisors is an integer number (5740).

2⁵⁷²¹³ is an apocalyptic number.

It is an amenable number.

57213 is a deficient number, since it is larger than the sum of its proper divisors (34627).

57213 is a wasteful number, since it uses less digits than its factorization.

57213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 57213 is about 239.1923911833. The cubic root of 57213 is about 38.5328891951.

Adding to 57213 its reverse (31275), we get a palindrome (88488).

It can be divided in two parts, 572 and 13, that added together give a palindrome (585).

The spelling of 57213 in words is "fifty-seven thousand, two hundred thirteen".