9783984 has 80 divisors (see below), whose sum is σ = 29704448. Its totient is φ = 2716416.

The previous prime is 9783979. The next prime is 9783989. The reversal of 9783984 is 4893879.

9783984 = 21² + 22² + ... + 308².

It is an interprime number because it is at equal distance from previous prime (9783979) and next prime (9783989).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9783989) 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, 12039 + ... + 12825.

Almost surely, 2^9783984 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 9783984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14852224).

9783984 is an abundant number, since it is smaller than the sum of its proper divisors (19920464).

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

9783984 is a wasteful number, since it uses less digits than its factorization.

9783984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 9783984 is about 3127.9360607276. The cubic root of 9783984 is about 213.8808548646.

The spelling of 9783984 in words is "nine million, seven hundred eighty-three thousand, nine hundred eighty-four".