86217 has 8 divisors (see below), whose sum is σ = 119040. Its totient is φ = 55440.

The previous prime is 86209. The next prime is 86239. The reversal of 86217 is 71268.

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

It is not a de Polignac number, because 86217 - 2³ = 86209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86257) 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, 409 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (14880).

2⁸⁶²¹⁷ is an apocalyptic number.

86217 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

86217 is a deficient number, since it is larger than the sum of its proper divisors (32823).

86217 is a wasteful number, since it uses less digits than its factorization.

86217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023.

The product of its digits is 672, while the sum is 24.

The square root of 86217 is about 293.6273148057. The cubic root of 86217 is about 44.1771439880.

It can be divided in two parts, 86 and 217, that added together give a palindrome (303).

The spelling of 86217 in words is "eighty-six thousand, two hundred seventeen".