9997824 has 80 divisors (see below), whose sum is σ = 27891072. Its totient is φ = 3176448.

The previous prime is 9997817. The next prime is 9997829. The reversal of 9997824 is 4287999.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9997829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35187 + ... + 35469.

Almost surely, 2^9997824 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 9997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13945536).

9997824 is an abundant number, since it is smaller than the sum of its proper divisors (17893248).

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

9997824 is a wasteful number, since it uses less digits than its factorization.

9997824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 9997824 is about 3161.9335856403. The cubic root of 9997824 is about 215.4278410366.

The spelling of 9997824 in words is "nine million, nine hundred ninety-seven thousand, eight hundred twenty-four".