86117 has 2 divisors, whose sum is σ = 86118. Its totient is φ = 86116.

The previous prime is 86113. The next prime is 86131. The reversal of 86117 is 71168.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43681 + 42436 = 209^2 + 206^2 .

It is a cyclic number.

It is not a de Polignac number, because 86117 - 2² = 86113 is a prime.

It is a super-2 number, since 2×86117² = 14832275378, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 86092 and 86101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86111) 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 as a sum of consecutive naturals, namely, 43058 + 43059.

It is an arithmetic number, because the mean of its divisors is an integer number (43059).

2⁸⁶¹¹⁷ is an apocalyptic number.

It is an amenable number.

86117 is a deficient number, since it is larger than the sum of its proper divisors (1).

86117 is an equidigital number, since it uses as much as digits as its factorization.

86117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 23.

The square root of 86117 is about 293.4569815152. The cubic root of 86117 is about 44.1600575530.

It can be divided in two parts, 861 and 17, that added together give a palindrome (878).

The spelling of 86117 in words is "eighty-six thousand, one hundred seventeen".