18369 has 12 divisors (see below), whose sum is σ = 28756. Its totient is φ = 11232.

The previous prime is 18367. The next prime is 18371. The reversal of 18369 is 96381.

18369 = 13² + 14² + ... + 38².

18369 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (18367) and next prime (18371).

It can be written as a sum of positive squares in 2 ways, for example, as 3969 + 14400 = 63^2 + 120^2 .

It is not a de Polignac number, because 18369 - 2¹ = 18367 is a prime.

It is a super-2 number, since 2×18369² = 674840322, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a plaindrome in base 11 and base 15.

It is not an unprimeable number, because it can be changed into a prime (18367) 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 11 ways as a sum of consecutive naturals, for example, 39 + ... + 195.

2¹⁸³⁶⁹ is an apocalyptic number.

It is an amenable number.

18369 is a deficient number, since it is larger than the sum of its proper divisors (10387).

18369 is a wasteful number, since it uses less digits than its factorization.

18369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 173 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 18369 is about 135.5322839769. The cubic root of 18369 is about 26.3852879461.

It can be divided in two parts, 183 and 69, that added together give a palindrome (252).

The spelling of 18369 in words is "eighteen thousand, three hundred sixty-nine".