12833952 has 48 divisors (see below), whose sum is σ = 34483680. Its totient is φ = 4177152.

The previous prime is 12833941. The next prime is 12833957. The reversal of 12833952 is 25933821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12833957) 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, 2574 + ... + 5682.

It is an arithmetic number, because the mean of its divisors is an integer number (718410).

Almost surely, 2^12833952 is an apocalyptic number.

12833952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12833952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17241840).

12833952 is an abundant number, since it is smaller than the sum of its proper divisors (21649728).

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

12833952 is a wasteful number, since it uses less digits than its factorization.

12833952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3157 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 12833952 is about 3582.4505579282. The cubic root of 12833952 is about 234.1280619791.

The spelling of 12833952 in words is "twelve million, eight hundred thirty-three thousand, nine hundred fifty-two".