23382 has 16 divisors (see below), whose sum is σ = 52080. Its totient is φ = 7776.

The previous prime is 23371. The next prime is 23399. The reversal of 23382 is 28332.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

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 23382.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163 + ... + 270.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

2²³³⁸² is an apocalyptic number.

23382 is an abundant number, since it is smaller than the sum of its proper divisors (28698).

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 (26040).

23382 is a wasteful number, since it uses less digits than its factorization.

23382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 23382 is about 152.9117392485. The cubic root of 23382 is about 28.5952491823.

Subtracting 23382 from its reverse (28332), we obtain a triangular number (4950 = T₉₉).

The spelling of 23382 in words is "twenty-three thousand, three hundred eighty-two".