86166 has 12 divisors (see below), whose sum is σ = 186732. Its totient is φ = 28716.

The previous prime is 86161. The next prime is 86171. The reversal of 86166 is 66168.

It is an interprime number because it is at equal distance from previous prime (86161) and next prime (86171).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86161) by changing a digit.

86166 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 2376 + ... + 2411.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2⁸⁶¹⁶⁶ is an apocalyptic number.

86166 is an abundant number, since it is smaller than the sum of its proper divisors (100566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86166 is a wasteful number, since it uses less digits than its factorization.

86166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4792 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 86166 is about 293.5404571775. The cubic root of 86166 is about 44.1684315580.

It can be divided in two parts, 86 and 166, that added together give a palindrome (252).

The spelling of 86166 in words is "eighty-six thousand, one hundred sixty-six".