82185 has 8 divisors (see below), whose sum is σ = 131520. Its totient is φ = 43824.

The previous prime is 82183. The next prime is 82189. The reversal of 82185 is 58128.

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

It is not a de Polignac number, because 82185 - 2¹ = 82183 is a prime.

It is a Curzon number.

82185 is a lucky number.

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, 2725 + ... + 2754.

It is an arithmetic number, because the mean of its divisors is an integer number (16440).

2⁸²¹⁸⁵ is an apocalyptic number.

It is an amenable number.

82185 is a deficient number, since it is larger than the sum of its proper divisors (49335).

82185 is a wasteful number, since it uses less digits than its factorization.

82185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487.

The product of its digits is 640, while the sum is 24.

The square root of 82185 is about 286.6792632891. The cubic root of 82185 is about 43.4774622317.

The spelling of 82185 in words is "eighty-two thousand, one hundred eighty-five".