18045 has 12 divisors (see below), whose sum is σ = 31356. Its totient is φ = 9600.

The previous prime is 18043. The next prime is 18047. The reversal of 18045 is 54081.

It is an interprime number because it is at equal distance from previous prime (18043) and next prime (18047).

It can be written as a sum of positive squares in 2 ways, for example, as 13689 + 4356 = 117^2 + 66^2 .

It is not a de Polignac number, because 18045 - 2¹ = 18043 is a prime.

It is a plaindrome in base 16.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18041) 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, 156 + ... + 245.

It is an arithmetic number, because the mean of its divisors is an integer number (2613).

2¹⁸⁰⁴⁵ is an apocalyptic number.

18045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18045 is a deficient number, since it is larger than the sum of its proper divisors (13311).

18045 is a wasteful number, since it uses less digits than its factorization.

18045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 18045 is about 134.3316790634. The cubic root of 18045 is about 26.2292352793.

It can be divided in two parts, 180 and 45, that multiplied together give a square (8100 = 90²).

The spelling of 18045 in words is "eighteen thousand, forty-five".