6806313 has 24 divisors (see below), whose sum is σ = 10558080. Its totient is φ = 4212000.

The previous prime is 6806309. The next prime is 6806357. The reversal of 6806313 is 3136086.

It is not a de Polignac number, because 6806313 - 2² = 6806309 is a prime.

6806313 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6806363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8688 + ... + 9438.

It is an arithmetic number, because the mean of its divisors is an integer number (439920).

Almost surely, 2^6806313 is an apocalyptic number.

It is an amenable number.

6806313 is a deficient number, since it is larger than the sum of its proper divisors (3751767).

6806313 is a wasteful number, since it uses less digits than its factorization.

6806313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6806313 is about 2608.8911437620. The cubic root of 6806313 is about 189.5122577776.

The spelling of 6806313 in words is "six million, eight hundred six thousand, three hundred thirteen".