86164 has 12 divisors (see below), whose sum is σ = 162484. Its totient is φ = 39744.

The previous prime is 86161. The next prime is 86171. The reversal of 86164 is 46168.

It can be written as a sum of positive squares in 2 ways, for example, as 19600 + 66564 = 140^2 + 258^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

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.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 777 + ... + 880.

2⁸⁶¹⁶⁴ is an apocalyptic number.

It is an amenable number.

86164 is a deficient number, since it is larger than the sum of its proper divisors (76320).

86164 is a wasteful number, since it uses less digits than its factorization.

86164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1672 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 86164 is about 293.5370504723. The cubic root of 86164 is about 44.1680898240.

The spelling of 86164 in words is "eighty-six thousand, one hundred sixty-four".