83085864 has 32 divisors (see below), whose sum is σ = 208302720. Its totient is φ = 27616896.

The previous prime is 83085857. The next prime is 83085869. The reversal of 83085864 is 46858038.

83085864 = T₄₈₁ + T₄₈₂ + ... + T₈₄₇.

It is not an unprimeable number, because it can be changed into a prime (83085869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4092 + ... + 13524.

It is an arithmetic number, because the mean of its divisors is an integer number (6509460).

Almost surely, 2^83085864 is an apocalyptic number.

It is an amenable number.

83085864 is an abundant number, since it is smaller than the sum of its proper divisors (125216856).

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

83085864 is a wasteful number, since it uses less digits than its factorization.

83085864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9809 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 83085864 is about 9115.1447602328. The cubic root of 83085864 is about 436.3574349182.

The spelling of 83085864 in words is "eighty-three million, eighty-five thousand, eight hundred sixty-four".