164985 has 16 divisors (see below), whose sum is σ = 279936. Its totient is φ = 82688.

The previous prime is 164963. The next prime is 164987. The reversal of 164985 is 589461.

It is not a de Polignac number, because 164985 - 2⁵ = 164953 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164987) 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, 69 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (17496).

2¹⁶⁴⁹⁸⁵ is an apocalyptic number.

164985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164985 is a deficient number, since it is larger than the sum of its proper divisors (114951).

164985 is a wasteful number, since it uses less digits than its factorization.

164985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672.

The product of its digits is 8640, while the sum is 33.

The square root of 164985 is about 406.1834560885. The cubic root of 164985 is about 54.8464034114.

The spelling of 164985 in words is "one hundred sixty-four thousand, nine hundred eighty-five".