83085193 has 2 divisors, whose sum is σ = 83085194. Its totient is φ = 83085192.

The previous prime is 83085181. The next prime is 83085199. The reversal of 83085193 is 39158038.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65804544 + 17280649 = 8112^2 + 4157^2 .

It is a cyclic number.

It is not a de Polignac number, because 83085193 - 2¹⁷ = 82954121 is a prime.

It is not a weakly prime, because it can be changed into another prime (83085199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41542596 + 41542597.

It is an arithmetic number, because the mean of its divisors is an integer number (41542597).

Almost surely, 2^83085193 is an apocalyptic number.

It is an amenable number.

83085193 is a deficient number, since it is larger than the sum of its proper divisors (1).

83085193 is an equidigital number, since it uses as much as digits as its factorization.

83085193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 83085193 is about 9115.1079532828. The cubic root of 83085193 is about 436.3562602433.

The spelling of 83085193 in words is "eighty-three million, eighty-five thousand, one hundred ninety-three".