167085 has 24 divisors (see below), whose sum is σ = 299520. Its totient is φ = 86112.

The previous prime is 167081. The next prime is 167087. The reversal of 167085 is 580761.

167085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 167085 - 2² = 167081 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2076 + ... + 2154.

It is an arithmetic number, because the mean of its divisors is an integer number (12480).

2¹⁶⁷⁰⁸⁵ is an apocalyptic number.

167085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

167085 is a deficient number, since it is larger than the sum of its proper divisors (132435).

167085 is a wasteful number, since it uses less digits than its factorization.

167085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 167085 is about 408.7603209706. The cubic root of 167085 is about 55.0781258865.

The spelling of 167085 in words is "one hundred sixty-seven thousand, eighty-five".