8685 has 12 divisors (see below), whose sum is σ = 15132. Its totient is φ = 4608.

The previous prime is 8681. The next prime is 8689. The reversal of 8685 is 5868.

It is an interprime number because it is at equal distance from previous prime (8681) and next prime (8689).

It can be written as a sum of positive squares in 2 ways, for example, as 2601 + 6084 = 51^2 + 78^2 .

It is not a de Polignac number, because 8685 - 2² = 8681 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52 + ... + 141.

It is an arithmetic number, because the mean of its divisors is an integer number (1261).

2⁸⁶⁸⁵ is an apocalyptic number.

It is an amenable number.

8685 is a deficient number, since it is larger than the sum of its proper divisors (6447).

8685 is a wasteful number, since it uses less digits than its factorization.

8685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 201 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 8685 is about 93.1933474021. The cubic root of 8685 is about 20.5552741893. Note that the first 3 decimals are identical.

It can be divided in two parts, 86 and 85, that added together give a palindrome (171).

The spelling of 8685 in words is "eight thousand, six hundred eighty-five".