57424 has 20 divisors (see below), whose sum is σ = 115444. Its totient is φ = 27648.

The previous prime is 57413. The next prime is 57427. The reversal of 57424 is 42475.

It can be written as a sum of positive squares in 2 ways, for example, as 40000 + 17424 = 200^2 + 132^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57395 and 57404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 544 + ... + 640.

2⁵⁷⁴²⁴ is an apocalyptic number.

It is an amenable number.

57424 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (57722).

57424 is a wasteful number, since it uses less digits than its factorization.

57424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its digits is 1120, while the sum is 22.

The square root of 57424 is about 239.6330528120. The cubic root of 57424 is about 38.5802005002.

Adding to 57424 its reverse (42475), we get a palindrome (99899).

The spelling of 57424 in words is "fifty-seven thousand, four hundred twenty-four".