9824 has 12 divisors (see below), whose sum is σ = 19404. Its totient is φ = 4896.

The previous prime is 9817. The next prime is 9829. The reversal of 9824 is 4289.

9824 = T₇ + T₈ + ... + T₃₈.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 9824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 122 + ... + 185.

It is an arithmetic number, because the mean of its divisors is an integer number (1617).

2⁹⁸²⁴ is an apocalyptic number.

It is an amenable number.

9824 is a deficient number, since it is larger than the sum of its proper divisors (9580).

9824 is a wasteful number, since it uses less digits than its factorization.

9824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 9824 is about 99.1160935469. The cubic root of 9824 is about 21.4172045535.

Subtracting from 9824 its sum of digits (23), we obtain a square (9801 = 99²).

The spelling of 9824 in words is "nine thousand, eight hundred twenty-four".