9829717966 has 16 divisors (see below), whose sum is σ = 15387955200. Its totient is φ = 4700463768.

The previous prime is 9829717957. The next prime is 9829717993. The reversal of 9829717966 is 6697179289.

It is a super-2 number, since 2×9829717966² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9829717898 and 9829717907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422875 + ... + 445513.

It is an arithmetic number, because the mean of its divisors is an integer number (961747200).

Almost surely, 2^9829717966 is an apocalyptic number.

9829717966 is a deficient number, since it is larger than the sum of its proper divisors (5558237234).

9829717966 is a wasteful number, since it uses less digits than its factorization.

9829717966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32103.

The product of its digits is 20575296, while the sum is 64.

The square root of 9829717966 is about 99144.9341418915. The cubic root of 9829717966 is about 2142.1358974470.

The spelling of 9829717966 in words is "nine billion, eight hundred twenty-nine million, seven hundred seventeen thousand, nine hundred sixty-six".