807313 has 12 divisors (see below), whose sum is σ = 928908. Its totient is φ = 698880.

The previous prime is 807299. The next prime is 807337. The reversal of 807313 is 313708.

It can be written as a sum of positive squares in 6 ways, for example, as 18769 + 788544 = 137^2 + 888^2 .

It is not a de Polignac number, because 807313 - 2⁵ = 807281 is a prime.

It is a Duffinian number.

807313 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (807383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2733 + ... + 3013.

It is an arithmetic number, because the mean of its divisors is an integer number (77409).

2⁸⁰⁷³¹³ is an apocalyptic number.

It is an amenable number.

807313 is a deficient number, since it is larger than the sum of its proper divisors (121595).

807313 is a wasteful number, since it uses less digits than its factorization.

807313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 807313 is about 898.5059821726. The cubic root of 807313 is about 93.1137852657.

The spelling of 807313 in words is "eight hundred seven thousand, three hundred thirteen".