8185 has 4 divisors (see below), whose sum is σ = 9828. Its totient is φ = 6544.

The previous prime is 8179. The next prime is 8191. The reversal of 8185 is 5818.

8185 is nontrivially palindromic in base 8.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5818 = 2 ⋅2909.

It is an interprime number because it is at equal distance from previous prime (8179) and next prime (8191).

It can be written as a sum of positive squares in 2 ways, for example, as 1296 + 6889 = 36^2 + 83^2 .

It is a cyclic number.

It is not a de Polignac number, because 8185 - 2⁹ = 7673 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 814 + ... + 823.

It is an arithmetic number, because the mean of its divisors is an integer number (2457).

It is an amenable number.

8185 is a deficient number, since it is larger than the sum of its proper divisors (1643).

8185 is a wasteful number, since it uses less digits than its factorization.

8185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642.

The product of its digits is 320, while the sum is 22.

The square root of 8185 is about 90.4709898255. The cubic root of 8185 is about 20.1529933344.

The spelling of 8185 in words is "eight thousand, one hundred eighty-five".