18249 has 16 divisors (see below), whose sum is σ = 30720. Its totient is φ = 9360.

The previous prime is 18233. The next prime is 18251. The reversal of 18249 is 94281.

It is not a de Polignac number, because 18249 - 2⁴ = 18233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 192 + ... + 270.

It is an arithmetic number, because the mean of its divisors is an integer number (1920).

2¹⁸²⁴⁹ is an apocalyptic number.

It is an amenable number.

18249 is a deficient number, since it is larger than the sum of its proper divisors (12471).

18249 is a wasteful number, since it uses less digits than its factorization.

18249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100.

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

The square root of 18249 is about 135.0888596443. The cubic root of 18249 is about 26.3277062519.

Subtracting from 18249 its sum of digits (24), we obtain a square (18225 = 135²).

It can be divided in two parts, 182 and 49, that added together give a triangular number (231 = T₂₁).

The spelling of 18249 in words is "eighteen thousand, two hundred forty-nine".