57984 has 32 divisors (see below), whose sum is σ = 155040. Its totient is φ = 19200.

The previous prime is 57977. The next prime is 57991. The reversal of 57984 is 48975.

It is an interprime number because it is at equal distance from previous prime (57977) and next prime (57991).

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (10080) is a multiple of the sum of its prime factors (168).

It is an unprimeable number.

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, 309 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (4845).

2⁵⁷⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77520).

57984 is an abundant number, since it is smaller than the sum of its proper divisors (97056).

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

57984 is a wasteful number, since it uses less digits than its factorization.

57984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 57984 is about 240.7986710927. The cubic root of 57984 is about 38.7052066521.

Subtracting from 57984 its reverse (48975), we obtain a palindrome (9009).

The spelling of 57984 in words is "fifty-seven thousand, nine hundred eighty-four".