9961706873 has 16 divisors (see below), whose sum is σ = 10417666560. Its totient is φ = 9514713600.

The previous prime is 9961706863. The next prime is 9961706927. The reversal of 9961706873 is 3786071699.

9961706873 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 9961706873 - 2²² = 9957512569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9961706863) 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 15 ways as a sum of consecutive naturals, for example, 1135283 + ... + 1144023.

It is an arithmetic number, because the mean of its divisors is an integer number (651104160).

Almost surely, 2^9961706873 is an apocalyptic number.

It is an amenable number.

9961706873 is a deficient number, since it is larger than the sum of its proper divisors (455959687).

9961706873 is a wasteful number, since it uses less digits than its factorization.

9961706873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9248.

The product of its (nonzero) digits is 3429216, while the sum is 56.

The square root of 9961706873 is about 99808.3507177631. The cubic root of 9961706873 is about 2151.6811709668.

The spelling of 9961706873 in words is "nine billion, nine hundred sixty-one million, seven hundred six thousand, eight hundred seventy-three".