12806833 has 8 divisors (see below), whose sum is σ = 13948200. Its totient is φ = 11687808.

The previous prime is 12806749. The next prime is 12806861. The reversal of 12806833 is 33860821.

12806833 = 72² + 73² + ... + 338².

12806833 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 12271009 = 732^2 + 3503^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12806833 - 2¹³ = 12798641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12806795 and 12806804.

It is not an unprimeable number, because it can be changed into a prime (12806863) 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, 4378 + ... + 6691.

It is an arithmetic number, because the mean of its divisors is an integer number (1743525).

Almost surely, 2^12806833 is an apocalyptic number.

12806833 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12806833 is a deficient number, since it is larger than the sum of its proper divisors (1141367).

12806833 is a wasteful number, since it uses less digits than its factorization.

12806833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11171.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 12806833 is about 3578.6635773707. The cubic root of 12806833 is about 233.9630362633.

The spelling of 12806833 in words is "twelve million, eight hundred six thousand, eight hundred thirty-three".