7164856961 has 2 divisors, whose sum is σ = 7164856962. Its totient is φ = 7164856960.

The previous prime is 7164856913. The next prime is 7164856981. The reversal of 7164856961 is 1696584617.

7164856961 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., 6243370225 + 921486736 = 79015^2 + 30356^2 .

It is a cyclic number.

It is not a de Polignac number, because 7164856961 - 2¹⁰ = 7164855937 is a prime.

It is not a weakly prime, because it can be changed into another prime (7164856981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3582428480 + 3582428481.

It is an arithmetic number, because the mean of its divisors is an integer number (3582428481).

Almost surely, 2^7164856961 is an apocalyptic number.

It is an amenable number.

7164856961 is a deficient number, since it is larger than the sum of its proper divisors (1).

7164856961 is an equidigital number, since it uses as much as digits as its factorization.

7164856961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2177280, while the sum is 53.

The square root of 7164856961 is about 84645.4780894999. The cubic root of 7164856961 is about 1927.8319557377.

The spelling of 7164856961 in words is "seven billion, one hundred sixty-four million, eight hundred fifty-six thousand, nine hundred sixty-one".