53382 has 32 divisors (see below), whose sum is σ = 129024. Its totient is φ = 14400.

The previous prime is 53381. The next prime is 53401. The reversal of 53382 is 28335.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53382.

It is not an unprimeable number, because it can be changed into a prime (53381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1282 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2⁵³³⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64512).

53382 is an abundant number, since it is smaller than the sum of its proper divisors (75642).

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

53382 is a wasteful number, since it uses less digits than its factorization.

53382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84.

The product of its digits is 720, while the sum is 21.

The square root of 53382 is about 231.0454500742. The cubic root of 53382 is about 37.6528869462.

Subtracting from 53382 its sum of digits (21), we obtain a square (53361 = 231²).

It can be divided in two parts, 53 and 382, that added together give a triangular number (435 = T₂₉).

The spelling of 53382 in words is "fifty-three thousand, three hundred eighty-two".