35685 has 24 divisors (see below), whose sum is σ = 67704. Its totient is φ = 17280.

The previous prime is 35677. The next prime is 35729. The reversal of 35685 is 58653.

35685 is nontrivially palindromic in base 14.

35685 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1089 + 34596 = 33^2 + 186^2 .

It is not a de Polignac number, because 35685 - 2³ = 35677 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 555 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (2821).

2³⁵⁶⁸⁵ is an apocalyptic number.

It is an amenable number.

35685 is a deficient number, since it is larger than the sum of its proper divisors (32019).

35685 is a wasteful number, since it uses less digits than its factorization.

35685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 35685 is about 188.9047378972. The cubic root of 35685 is about 32.9226840109.

It can be divided in two parts, 356 and 85, that added together give a square (441 = 21²).

The spelling of 35685 in words is "thirty-five thousand, six hundred eighty-five".