83685312 has 84 divisors (see below), whose sum is σ = 248799096. Its totient is φ = 27889920.

The previous prime is 83685311. The next prime is 83685317. The reversal of 83685312 is 21358638.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83685311) 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, 12862 + ... + 18242.

It is an arithmetic number, because the mean of its divisors is an integer number (2961894).

Almost surely, 2^83685312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83685312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124399548).

83685312 is an abundant number, since it is smaller than the sum of its proper divisors (165113784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83685312 is an equidigital number, since it uses as much as digits as its factorization.

83685312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 5386 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 83685312 is about 9147.9676431435. The cubic root of 83685312 is about 437.4043319526.

The spelling of 83685312 in words is "eighty-three million, six hundred eighty-five thousand, three hundred twelve".