17085 has 16 divisors (see below), whose sum is σ = 29376. Its totient is φ = 8448.

The previous prime is 17077. The next prime is 17093. The reversal of 17085 is 58071.

It is a happy number.

17085 is digitally balanced in base 4, 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 (17077) and next prime (17093).

It is not a de Polignac number, because 17085 - 2³ = 17077 is a prime.

It is a Curzon number.

17085 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222 + ... + 288.

It is an arithmetic number, because the mean of its divisors is an integer number (1836).

2¹⁷⁰⁸⁵ is an apocalyptic number.

17085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

17085 is a deficient number, since it is larger than the sum of its proper divisors (12291).

17085 is a wasteful number, since it uses less digits than its factorization.

17085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 17085 is about 130.7096017896. The cubic root of 17085 is about 25.7555993730.

The spelling of 17085 in words is "seventeen thousand, eighty-five".