18459 has 12 divisors (see below), whose sum is σ = 30576. Its totient is φ = 10512.

The previous prime is 18457. The next prime is 18461. The reversal of 18459 is 95481.

It is an interprime number because it is at equal distance from previous prime (18457) and next prime (18461).

It is not a de Polignac number, because 18459 - 2¹ = 18457 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

18459 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (18451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84 + ... + 209.

It is an arithmetic number, because the mean of its divisors is an integer number (2548).

2¹⁸⁴⁵⁹ is an apocalyptic number.

18459 is a deficient number, since it is larger than the sum of its proper divisors (12117).

18459 is a wasteful number, since it uses less digits than its factorization.

18459 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 303 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 18459 is about 135.8639024907. The cubic root of 18459 is about 26.4283098517.

It can be divided in two parts, 184 and 59, that added together give a 5-th power (243 = 3⁵).

The spelling of 18459 in words is "eighteen thousand, four hundred fifty-nine".