6407313 has 24 divisors (see below), whose sum is σ = 9895200. Its totient is φ = 3674880.

The previous prime is 6407309. The next prime is 6407333. The reversal of 6407313 is 3137046.

It is not a de Polignac number, because 6407313 - 2² = 6407309 is a prime.

6407313 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6407333) 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, 6433 + ... + 7361.

It is an arithmetic number, because the mean of its divisors is an integer number (412300).

Almost surely, 2^6407313 is an apocalyptic number.

It is an amenable number.

6407313 is a deficient number, since it is larger than the sum of its proper divisors (3487887).

6407313 is a wasteful number, since it uses less digits than its factorization.

6407313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 6407313 is about 2531.2670740165. The cubic root of 6407313 is about 185.7342429666.

The spelling of 6407313 in words is "six million, four hundred seven thousand, three hundred thirteen".