12833984 has 56 divisors (see below), whose sum is σ = 26840688. Its totient is φ = 6082560.

The previous prime is 12833983. The next prime is 12833993. The reversal of 12833984 is 48933821.

It is a super-2 number, since 2×12833984² = 329422290624512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12833981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175772 + ... + 175844.

It is an arithmetic number, because the mean of its divisors is an integer number (479298).

Almost surely, 2^12833984 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 12833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13420344).

12833984 is an abundant number, since it is smaller than the sum of its proper divisors (14006704).

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

12833984 is an equidigital number, since it uses as much as digits as its factorization.

12833984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 12833984 is about 3582.4550241420. The cubic root of 12833984 is about 234.1282565696.

The spelling of 12833984 in words is "twelve million, eight hundred thirty-three thousand, nine hundred eighty-four".