82706245817 has 16 divisors (see below), whose sum is σ = 91640040912. Its totient is φ = 74147270400.

The previous prime is 82706245801. The next prime is 82706245849. The reversal of 82706245817 is 71854260728.

It can be written as a sum of positive squares in 8 ways, for example, as 1516012096 + 81190233721 = 38936^2 + 284939^2 .

It is a cyclic number.

It is not a de Polignac number, because 82706245817 - 2⁴ = 82706245801 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82706245717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113567 + ... + 422267.

It is an arithmetic number, because the mean of its divisors is an integer number (5727502557).

Almost surely, 2^82706245817 is an apocalyptic number.

It is an amenable number.

82706245817 is a deficient number, since it is larger than the sum of its proper divisors (8933795095).

82706245817 is a wasteful number, since it uses less digits than its factorization.

82706245817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309308.

The product of its (nonzero) digits is 1505280, while the sum is 50.

The spelling of 82706245817 in words is "eighty-two billion, seven hundred six million, two hundred forty-five thousand, eight hundred seventeen".