57573 has 6 divisors (see below), whose sum is σ = 83174. Its totient is φ = 38376.

The previous prime is 57571. The next prime is 57587. The reversal of 57573 is 37575.

57573 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31329 + 26244 = 177^2 + 162^2 .

It is not a de Polignac number, because 57573 - 2¹ = 57571 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57571) 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, 3190 + ... + 3207.

2⁵⁷⁵⁷³ is an apocalyptic number.

It is an amenable number.

57573 is a deficient number, since it is larger than the sum of its proper divisors (25601).

57573 is a wasteful number, since it uses less digits than its factorization.

57573 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6403 (or 6400 counting only the distinct ones).

The product of its digits is 3675, while the sum is 27.

The square root of 57573 is about 239.9437434067. The cubic root of 57573 is about 38.6135401325.

Adding to 57573 its sum of digits (27), we get a square (57600 = 240²).

It can be divided in two parts, 5757 and 3, that multiplied together give a palindrome (17271).

The spelling of 57573 in words is "fifty-seven thousand, five hundred seventy-three".