313809 has 8 divisors (see below), whose sum is σ = 432960. Its totient is φ = 201936.

The previous prime is 313783. The next prime is 313829. The reversal of 313809 is 908313.

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

It is not a de Polignac number, because 313809 - 2⁵ = 313777 is a prime.

It is a Curzon number.

313809 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313809.

It is not an unprimeable number, because it can be changed into a prime (313829) 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, 1717 + ... + 1890.

It is an arithmetic number, because the mean of its divisors is an integer number (54120).

2³¹³⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

313809 is a deficient number, since it is larger than the sum of its proper divisors (119151).

313809 is a wasteful number, since it uses less digits than its factorization.

313809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 313809 is about 560.1865760619. The cubic root of 313809 is about 67.9550596948.

The spelling of 313809 in words is "three hundred thirteen thousand, eight hundred nine".