9984 has 36 divisors (see below), whose sum is σ = 28616. Its totient is φ = 3072.

The previous prime is 9973. The next prime is 10007. The reversal of 9984 is 4899.

9984 is nontrivially palindromic in base 11.

Its product of digits (2592) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 9984.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 762 + ... + 774.

2^{9984} is an apocalyptic number.

9984 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14308).

9984 is an abundant number, since it is smaller than the sum of its proper divisors (18632).

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

9984 is a wasteful number, since it uses less digits than its factorization.

9984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 18 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 9984 is about 99.9199679744. The cubic root of 9984 is about 21.5328504483.

The spelling of 9984 in words is "nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984

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