313807 has 8 divisors (see below), whose sum is σ = 342720. Its totient is φ = 285600.

The previous prime is 313783. The next prime is 313829. The reversal of 313807 is 708313.

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 313807 - 2⁷ = 313679 is a prime.

It is a Duffinian number.

313807 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313897) 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 7 ways as a sum of consecutive naturals, for example, 1194 + ... + 1432.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

2³¹³⁸⁰⁷ is an apocalyptic number.

313807 is a deficient number, since it is larger than the sum of its proper divisors (28913).

313807 is a wasteful number, since it uses less digits than its factorization.

313807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353.

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

The square root of 313807 is about 560.1847909396. The cubic root of 313807 is about 67.9549153284.

The spelling of 313807 in words is "three hundred thirteen thousand, eight hundred seven".