9984057971 has 16 divisors (see below), whose sum is σ = 10536977664. Its totient is φ = 9441409824.

The previous prime is 9984057949. The next prime is 9984057977. The reversal of 9984057971 is 1797504899.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9984057971 is a prime.

It is a super-3 number, since 3×9984057971³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9984057971.

It is not an unprimeable number, because it can be changed into a prime (9984057977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1283225 + ... + 1290981.

It is an arithmetic number, because the mean of its divisors is an integer number (658561104).

Almost surely, 2^9984057971 is an apocalyptic number.

9984057971 is a deficient number, since it is larger than the sum of its proper divisors (552919693).

9984057971 is a wasteful number, since it uses less digits than its factorization.

9984057971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8410.

The product of its (nonzero) digits is 5715360, while the sum is 59.

The square root of 9984057971 is about 99920.2580611159. The cubic root of 9984057971 is about 2153.2892124313.

The spelling of 9984057971 in words is "nine billion, nine hundred eighty-four million, fifty-seven thousand, nine hundred seventy-one".