82186 has 16 divisors (see below), whose sum is σ = 138600. Its totient is φ = 36288.

The previous prime is 82183. The next prime is 82189. The reversal of 82186 is 68128.

It is an interprime number because it is at equal distance from previous prime (82183) and next prime (82189).

It can be written as a sum of positive squares in 4 ways, for example, as 65025 + 17161 = 255^2 + 131^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82186.

It is not an unprimeable number, because it can be changed into a prime (82183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 700 + ... + 808.

2⁸²¹⁸⁶ is an apocalyptic number.

82186 is a deficient number, since it is larger than the sum of its proper divisors (56414).

82186 is a wasteful number, since it uses less digits than its factorization.

82186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153.

The product of its digits is 768, while the sum is 25.

The square root of 82186 is about 286.6810073932. The cubic root of 82186 is about 43.4776385708.

Subtracting from 82186 its product of digits (768), we obtain a palindrome (81418).

The spelling of 82186 in words is "eighty-two thousand, one hundred eighty-six".