82706458705921 has 2 divisors, whose sum is σ = 82706458705922. Its totient is φ = 82706458705920.

The previous prime is 82706458705891. The next prime is 82706458705963. The reversal of 82706458705921 is 12950785460728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78698899137600 + 4007559568321 = 8871240^2 + 2001889^2 .

It is a cyclic number.

It is not a de Polignac number, because 82706458705921 - 2⁵ = 82706458705889 is a prime.

It is not a weakly prime, because it can be changed into another prime (82706458705721) 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 as a sum of consecutive naturals, namely, 41353229352960 + 41353229352961.

It is an arithmetic number, because the mean of its divisors is an integer number (41353229352961).

Almost surely, 2^{82706458705921} is an apocalyptic number.

It is an amenable number.

82706458705921 is a deficient number, since it is larger than the sum of its proper divisors (1).

82706458705921 is an equidigital number, since it uses as much as digits as its factorization.

82706458705921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67737600, while the sum is 64.

The spelling of 82706458705921 in words is "eighty-two trillion, seven hundred six billion, four hundred fifty-eight million, seven hundred five thousand, nine hundred twenty-one".