82085693 has 2 divisors, whose sum is σ = 82085694. Its totient is φ = 82085692.

The previous prime is 82085671. The next prime is 82085701. The reversal of 82085693 is 39658028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77915929 + 4169764 = 8827^2 + 2042^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82085693 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82085693.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82085603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41042846 + 41042847.

It is an arithmetic number, because the mean of its divisors is an integer number (41042847).

Almost surely, 2^82085693 is an apocalyptic number.

It is an amenable number.

82085693 is a deficient number, since it is larger than the sum of its proper divisors (1).

82085693 is an equidigital number, since it uses as much as digits as its factorization.

82085693 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 82085693 is about 9060.1155069900. The cubic root of 82085693 is about 434.5994339594.

The spelling of 82085693 in words is "eighty-two million, eighty-five thousand, six hundred ninety-three".