9729577961 has 2 divisors, whose sum is σ = 9729577962. Its totient is φ = 9729577960.

The previous prime is 9729577861. The next prime is 9729577997. The reversal of 9729577961 is 1697759279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9193933225 + 535644736 = 95885^2 + 23144^2 .

It is a cyclic number.

It is not a de Polignac number, because 9729577961 - 2¹⁴ = 9729561577 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9729577894 and 9729577903.

It is not a weakly prime, because it can be changed into another prime (9729577861) 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, 4864788980 + 4864788981.

It is an arithmetic number, because the mean of its divisors is an integer number (4864788981).

Almost surely, 2^9729577961 is an apocalyptic number.

It is an amenable number.

9729577961 is a deficient number, since it is larger than the sum of its proper divisors (1).

9729577961 is an equidigital number, since it uses as much as digits as its factorization.

9729577961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15002820, while the sum is 62.

The square root of 9729577961 is about 98638.6230692623. The cubic root of 9729577961 is about 2134.8367358111.

The spelling of 9729577961 in words is "nine billion, seven hundred twenty-nine million, five hundred seventy-seven thousand, nine hundred sixty-one".