9735982806 has 32 divisors (see below), whose sum is σ = 21248323200. Its totient is φ = 2949439680.

The previous prime is 9735982799. The next prime is 9735982813. The reversal of 9735982806 is 6082895379.

9735982806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9735982799) and next prime (9735982813).

It is a super-2 number, since 2×9735982806² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

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, 229185 + ... + 268323.

It is an arithmetic number, because the mean of its divisors is an integer number (664010100).

Almost surely, 2^9735982806 is an apocalyptic number.

9735982806 is an abundant number, since it is smaller than the sum of its proper divisors (11512340394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9735982806 is a wasteful number, since it uses less digits than its factorization.

9735982806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42924.

The product of its (nonzero) digits is 6531840, while the sum is 57.

The square root of 9735982806 is about 98671.0839405345. The cubic root of 9735982806 is about 2135.3050774401.

The spelling of 9735982806 in words is "nine billion, seven hundred thirty-five million, nine hundred eighty-two thousand, eight hundred six".