9937984 has 42 divisors (see below), whose sum is σ = 22947630. Its totient is φ = 4257792.

The previous prime is 9937973. The next prime is 9937997. The reversal of 9937984 is 4897399.

It can be written as a sum of positive squares in only one way, i.e., 9486400 + 451584 = 3080^2 + 672^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1552 + ... + 4720.

Almost surely, 2^9937984 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 9937984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11473815).

9937984 is an abundant number, since it is smaller than the sum of its proper divisors (13009646).

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

9937984 is a wasteful number, since it uses less digits than its factorization.

9937984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3178 counting only the distinct ones).

The product of its digits is 489888, while the sum is 49.

The square root of 9937984 is about 3152.4568196884. The cubic root of 9937984 is about 214.9971804209.

It can be divided in two parts, 99 and 37984, that added together give a palindrome (38083).

The spelling of 9937984 in words is "nine million, nine hundred thirty-seven thousand, nine hundred eighty-four".