85217 has 8 divisors (see below), whose sum is σ = 95232. Its totient is φ = 75600.

The previous prime is 85213. The next prime is 85223. The reversal of 85217 is 71258.

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

It is a cyclic number.

It is not a de Polignac number, because 85217 - 2² = 85213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85192 and 85201.

It is not an unprimeable number, because it can be changed into a prime (85213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (11904).

2⁸⁵²¹⁷ is an apocalyptic number.

It is an amenable number.

85217 is a deficient number, since it is larger than the sum of its proper divisors (10015).

85217 is a wasteful number, since it uses less digits than its factorization.

85217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199.

The product of its digits is 560, while the sum is 23.

The square root of 85217 is about 291.9195094542. The cubic root of 85217 is about 44.0056810846.

It can be divided in two parts, 8 and 5217, that added together give a palindrome (5225).

The spelling of 85217 in words is "eighty-five thousand, two hundred seventeen".