83085393 has 24 divisors (see below), whose sum is σ = 116494560. Its totient is φ = 52626880.

The previous prime is 83085391. The next prime is 83085403. The reversal of 83085393 is 39358038.

It is not a de Polignac number, because 83085393 - 2¹ = 83085391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83085391) 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 23 ways as a sum of consecutive naturals, for example, 776446 + ... + 776552.

It is an arithmetic number, because the mean of its divisors is an integer number (4853940).

Almost surely, 2^83085393 is an apocalyptic number.

It is an amenable number.

83085393 is a deficient number, since it is larger than the sum of its proper divisors (33409167).

83085393 is a wasteful number, since it uses less digits than its factorization.

83085393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 83085393 is about 9115.1189240733. The cubic root of 83085393 is about 436.3566103706.

The spelling of 83085393 in words is "eighty-three million, eighty-five thousand, three hundred ninety-three".