82085293 has 2 divisors, whose sum is σ = 82085294. Its totient is φ = 82085292.

The previous prime is 82085291. The next prime is 82085309. The reversal of 82085293 is 39258028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80676324 + 1408969 = 8982^2 + 1187^2 .

It is a cyclic number.

It is not a de Polignac number, because 82085293 - 2¹ = 82085291 is a prime.

Together with 82085291, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82085291) 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 as a sum of consecutive naturals, namely, 41042646 + 41042647.

It is an arithmetic number, because the mean of its divisors is an integer number (41042647).

Almost surely, 2^82085293 is an apocalyptic number.

It is an amenable number.

82085293 is a deficient number, since it is larger than the sum of its proper divisors (1).

82085293 is an equidigital number, since it uses as much as digits as its factorization.

82085293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 82085293 is about 9060.0934321893. The cubic root of 82085293 is about 434.5987280302.

The spelling of 82085293 in words is "eighty-two million, eighty-five thousand, two hundred ninety-three".