8705656961 has 2 divisors, whose sum is σ = 8705656962. Its totient is φ = 8705656960.

The previous prime is 8705656903. The next prime is 8705657011. The reversal of 8705656961 is 1696565078.

8705656961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8069608561 + 636048400 = 89831^2 + 25220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8705656961 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (8705659961) 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, 4352828480 + 4352828481.

It is an arithmetic number, because the mean of its divisors is an integer number (4352828481).

Almost surely, 2^8705656961 is an apocalyptic number.

It is an amenable number.

8705656961 is a deficient number, since it is larger than the sum of its proper divisors (1).

8705656961 is an equidigital number, since it uses as much as digits as its factorization.

8705656961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2721600, while the sum is 53.

The square root of 8705656961 is about 93304.1100970370. The cubic root of 8705656961 is about 2057.1557946770.

The spelling of 8705656961 in words is "eight billion, seven hundred five million, six hundred fifty-six thousand, nine hundred sixty-one".