53924 has 24 divisors (see below), whose sum is σ = 109368. Its totient is φ = 23040.

The previous prime is 53923. The next prime is 53927. The reversal of 53924 is 42935.

53924 = T₁₇ + T₁₈ + ... + T₆₈.

It can be written as a sum of positive squares in 4 ways, for example, as 100 + 53824 = 10^2 + 232^2 .

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53924.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53924.

It is not an unprimeable number, because it can be changed into a prime (53923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 854 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (4557).

2⁵³⁹²⁴ is an apocalyptic number.

It is an amenable number.

53924 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 (54684).

53924 is a wasteful number, since it uses less digits than its factorization.

53924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 93 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 53924 is about 232.2154172315. The cubic root of 53924 is about 37.7798909493.

The spelling of 53924 in words is "fifty-three thousand, nine hundred twenty-four".