85017 has 8 divisors (see below), whose sum is σ = 120096. Its totient is φ = 53312.

The previous prime is 85009. The next prime is 85021. The reversal of 85017 is 71058.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 85017 - 2³ = 85009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 84984 and 85002.

It is not an unprimeable number, because it can be changed into a prime (85027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 783 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (15012).

2⁸⁵⁰¹⁷ is an apocalyptic number.

It is an amenable number.

85017 is a deficient number, since it is larger than the sum of its proper divisors (35079).

85017 is a wasteful number, since it uses less digits than its factorization.

85017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687.

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

The square root of 85017 is about 291.5767480441. The cubic root of 85017 is about 43.9712277460.

The spelling of 85017 in words is "eighty-five thousand, seventeen".