18492 has 24 divisors (see below), whose sum is σ = 45696. Its totient is φ = 5808.

The previous prime is 18481. The next prime is 18493. The reversal of 18492 is 29481.

It is a nialpdrome in base 12.

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 18492.

It is not an unprimeable number, because it can be changed into a prime (18493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (1904).

2¹⁸⁴⁹² is an apocalyptic number.

18492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22848).

18492 is an abundant number, since it is smaller than the sum of its proper divisors (27204).

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

18492 is a wasteful number, since it uses less digits than its factorization.

18492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 18492 is about 135.9852933225. The cubic root of 18492 is about 26.4440495093. Note that the first 3 decimals are identical.

It can be divided in two parts, 184 and 92, that added together give a triangular number (276 = T₂₃).

The spelling of 18492 in words is "eighteen thousand, four hundred ninety-two".