9967817089 has 2 divisors, whose sum is σ = 9967817090. Its totient is φ = 9967817088.

The previous prime is 9967817087. The next prime is 9967817129. The reversal of 9967817089 is 9807187699.

9967817089 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9938494864 + 29322225 = 99692^2 + 5415^2 .

It is a cyclic number.

It is not a de Polignac number, because 9967817089 - 2¹ = 9967817087 is a prime.

Together with 9967817087, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 9967817089.

It is not a weakly prime, because it can be changed into another prime (9967817087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4983908544 + 4983908545.

It is an arithmetic number, because the mean of its divisors is an integer number (4983908545).

Almost surely, 2^9967817089 is an apocalyptic number.

It is an amenable number.

9967817089 is a deficient number, since it is larger than the sum of its proper divisors (1).

9967817089 is an equidigital number, since it uses as much as digits as its factorization.

9967817089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13716864, while the sum is 64.

The square root of 9967817089 is about 99838.9557687780. The cubic root of 9967817089 is about 2152.1210068892.

The spelling of 9967817089 in words is "nine billion, nine hundred sixty-seven million, eight hundred seventeen thousand, eighty-nine".