18192 has 20 divisors (see below), whose sum is σ = 47120. Its totient is φ = 6048.

The previous prime is 18191. The next prime is 18199. The reversal of 18192 is 29181.

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (18191) by changing a digit.

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, 142 + ... + 237.

It is an arithmetic number, because the mean of its divisors is an integer number (2356).

2¹⁸¹⁹² is an apocalyptic number.

18192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18192 is an abundant number, since it is smaller than the sum of its proper divisors (28928).

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 (23560).

18192 is a wasteful number, since it uses less digits than its factorization.

18192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 18192 is about 134.8777224007. The cubic root of 18192 is about 26.3002664943.

Adding to 18192 its product of digits (144), we get a triangular number (18336 = T₁₉₁).

It can be divided in two parts, 18 and 192, that added together give a triangular number (210 = T₂₀).

The spelling of 18192 in words is "eighteen thousand, one hundred ninety-two".