18164 has 12 divisors (see below), whose sum is σ = 33600. Its totient is φ = 8568.

The previous prime is 18149. The next prime is 18169. The reversal of 18164 is 46181.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44 + ... + 195.

It is an arithmetic number, because the mean of its divisors is an integer number (2800).

2¹⁸¹⁶⁴ is an apocalyptic number.

It is an amenable number.

18164 is a deficient number, since it is larger than the sum of its proper divisors (15436).

18164 is a wasteful number, since it uses less digits than its factorization.

18164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 18164 is about 134.7738847107. The cubic root of 18164 is about 26.2867663185.

The spelling of 18164 in words is "eighteen thousand, one hundred sixty-four".