18824 has 16 divisors (see below), whose sum is σ = 38220. Its totient is φ = 8640.

The previous prime is 18803. The next prime is 18839. The reversal of 18824 is 42881.

18824 = T₂₇ + T₂₈ + ... + T₅₀.

It can be written as a sum of positive squares in 2 ways, for example, as 13924 + 4900 = 118^2 + 70^2 .

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

It is a plaindrome in base 15.

It is a nialpdrome in base 12 and base 13.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 18824.

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, 14 + ... + 194.

2¹⁸⁸²⁴ 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 18824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19110).

18824 is an abundant number, since it is smaller than the sum of its proper divisors (19396).

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

18824 is a wasteful number, since it uses less digits than its factorization.

18824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 18824 is about 137.2005830891. The cubic root of 18824 is about 26.6013680115.

It can be divided in two parts, 188 and 24, that added together give a palindrome (212).

The spelling of 18824 in words is "eighteen thousand, eight hundred twenty-four".