9825984 has 84 divisors (see below), whose sum is σ = 32201104. Its totient is φ = 2806272.

The previous prime is 9825971. The next prime is 9825997. The reversal of 9825984 is 4895289.

9825984 is digitally balanced in base 2 and base 4, because in such bases 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 (9825971) and next prime (9825997).

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2814 + ... + 5250.

Almost surely, 2^9825984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9825984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16100552).

9825984 is an abundant number, since it is smaller than the sum of its proper divisors (22375120).

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

9825984 is a wasteful number, since it uses less digits than its factorization.

9825984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2449 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 9825984 is about 3134.6425633555. The cubic root of 9825984 is about 214.1864622264.

The spelling of 9825984 in words is "nine million, eight hundred twenty-five thousand, nine hundred eighty-four".