16185 has 16 divisors (see below), whose sum is σ = 28224. Its totient is φ = 7872.

The previous prime is 16183. The next prime is 16187. The reversal of 16185 is 58161.

16185 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (16183) and next prime (16187).

It is not a de Polignac number, because 16185 - 2¹ = 16183 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

2¹⁶¹⁸⁵ is an apocalyptic number.

16185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16185 is a deficient number, since it is larger than the sum of its proper divisors (12039).

16185 is a wasteful number, since it uses less digits than its factorization.

16185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104.

The product of its digits is 240, while the sum is 21.

The square root of 16185 is about 127.2202814020. The cubic root of 16185 is about 25.2951679857.

The spelling of 16185 in words is "sixteen thousand, one hundred eighty-five".