12833892 has 72 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 3907008.

The previous prime is 12833879. The next prime is 12833893. The reversal of 12833892 is 29833821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12833893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19513 + ... + 20159.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^12833892 is an apocalyptic number.

12833892 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 12833892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

12833892 is an abundant number, since it is smaller than the sum of its proper divisors (22546908).

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

12833892 is a wasteful number, since it uses less digits than its factorization.

12833892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 700 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 12833892 is about 3582.4421837624. The cubic root of 12833892 is about 234.1276971213.

The spelling of 12833892 in words is "twelve million, eight hundred thirty-three thousand, eight hundred ninety-two".