9967703985 has 24 divisors (see below), whose sum is σ = 17744312040. Its totient is φ = 5172429312.

The previous prime is 9967703953. The next prime is 9967703989. The reversal of 9967703985 is 5893077699.

9967703985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1291899249 + 8675804736 = 35943^2 + 93144^2 .

It is not a de Polignac number, because 9967703985 - 2⁵ = 9967703953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9967703989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2991640 + ... + 2994969.

It is an arithmetic number, because the mean of its divisors is an integer number (739346335).

Almost surely, 2^9967703985 is an apocalyptic number.

It is an amenable number.

9967703985 is a deficient number, since it is larger than the sum of its proper divisors (7776608055).

9967703985 is a wasteful number, since it uses less digits than its factorization.

9967703985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986657 (or 5986654 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The square root of 9967703985 is about 99838.3893349647. The cubic root of 9967703985 is about 2152.1128668784.

The spelling of 9967703985 in words is "nine billion, nine hundred sixty-seven million, seven hundred three thousand, nine hundred eighty-five".