18384 has 20 divisors (see below), whose sum is σ = 47616. Its totient is φ = 6112.

The previous prime is 18379. The next prime is 18397. The reversal of 18384 is 48381.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 144 + ... + 239.

2¹⁸³⁸⁴ is an apocalyptic number.

It is an amenable number.

18384 is an abundant number, since it is smaller than the sum of its proper divisors (29232).

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 (23808).

18384 is a wasteful number, since it uses less digits than its factorization.

18384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 18384 is about 135.5876100534. The cubic root of 18384 is about 26.3924680074.

It can be divided in two parts, 1 and 8384, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 18384 in words is "eighteen thousand, three hundred eighty-four".