82706786943653 has 2 divisors, whose sum is σ = 82706786943654. Its totient is φ = 82706786943652.

The previous prime is 82706786943631. The next prime is 82706786943667. The reversal of 82706786943653 is 35634968760728.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82580802410404 + 125984533249 = 9087398^2 + 354943^2 .

It is a cyclic number.

It is not a de Polignac number, because 82706786943653 - 2³⁴ = 82689607074469 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82706786943553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41353393471826 + 41353393471827.

It is an arithmetic number, because the mean of its divisors is an integer number (41353393471827).

Almost surely, 2^{82706786943653} is an apocalyptic number.

It is an amenable number.

82706786943653 is a deficient number, since it is larger than the sum of its proper divisors (1).

82706786943653 is an equidigital number, since it uses as much as digits as its factorization.

82706786943653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2194698240, while the sum is 74.

The spelling of 82706786943653 in words is "eighty-two trillion, seven hundred six billion, seven hundred eighty-six million, nine hundred forty-three thousand, six hundred fifty-three".