9972088961 has 2 divisors, whose sum is σ = 9972088962. Its totient is φ = 9972088960.

The previous prime is 9972088949. The next prime is 9972088969. The reversal of 9972088961 is 1698802799.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7748400625 + 2223688336 = 88025^2 + 47156^2 .

It is a cyclic number.

It is not a de Polignac number, because 9972088961 - 2¹⁴ = 9972072577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9972088961.

It is not a weakly prime, because it can be changed into another prime (9972088969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4986044480 + 4986044481.

It is an arithmetic number, because the mean of its divisors is an integer number (4986044481).

Almost surely, 2^9972088961 is an apocalyptic number.

It is an amenable number.

9972088961 is a deficient number, since it is larger than the sum of its proper divisors (1).

9972088961 is an equidigital number, since it uses as much as digits as its factorization.

9972088961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3919104, while the sum is 59.

The square root of 9972088961 is about 99860.3472906038. The cubic root of 9972088961 is about 2152.4284052676.

The spelling of 9972088961 in words is "nine billion, nine hundred seventy-two million, eighty-eight thousand, nine hundred sixty-one".