57384 has 24 divisors (see below), whose sum is σ = 155610. Its totient is φ = 19104.

The previous prime is 57383. The next prime is 57389. The reversal of 57384 is 48375.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 8100 = 222^2 + 90^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (57383) 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 5 ways as a sum of consecutive naturals, for example, 327 + ... + 470.

2⁵⁷³⁸⁴ is an apocalyptic number.

It is an amenable number.

57384 is an abundant number, since it is smaller than the sum of its proper divisors (98226).

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

57384 is a wasteful number, since it uses less digits than its factorization.

57384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 802 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 57384 is about 239.5495773321. The cubic root of 57384 is about 38.5712404459.

Subtracting from 57384 its reverse (48375), we obtain a palindrome (9009).

It can be divided in two parts, 57 and 384, that added together give a square (441 = 21²).

The spelling of 57384 in words is "fifty-seven thousand, three hundred eighty-four".