83685 has 16 divisors (see below), whose sum is σ = 153216. Its totient is φ = 38208.

The previous prime is 83663. The next prime is 83689. The reversal of 83685 is 58638.

It is not a de Polignac number, because 83685 - 2⁵ = 83653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2⁸³⁶⁸⁵ is an apocalyptic number.

It is an amenable number.

83685 is a deficient number, since it is larger than the sum of its proper divisors (69531).

83685 is a wasteful number, since it uses less digits than its factorization.

83685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812.

The product of its digits is 5760, while the sum is 30.

The square root of 83685 is about 289.2835978759. The cubic root of 83685 is about 43.7403788367.

The spelling of 83685 in words is "eighty-three thousand, six hundred eighty-five".