85117 has 4 divisors (see below), whose sum is σ = 86976. Its totient is φ = 83260.

The previous prime is 85109. The next prime is 85121. The reversal of 85117 is 71158.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 85117 - 2³ = 85109 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 859 + ... + 952.

It is an arithmetic number, because the mean of its divisors is an integer number (21744).

2⁸⁵¹¹⁷ is an apocalyptic number.

It is an amenable number.

85117 is a deficient number, since it is larger than the sum of its proper divisors (1859).

85117 is a wasteful number, since it uses less digits than its factorization.

85117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858.

The product of its digits is 280, while the sum is 22.

The square root of 85117 is about 291.7481790860. The cubic root of 85117 is about 43.9884611616.

It can be divided in two parts, 851 and 17, that added together give a palindrome (868).

The spelling of 85117 in words is "eighty-five thousand, one hundred seventeen".