320313 has 12 divisors (see below), whose sum is σ = 497040. Its totient is φ = 182952.

The previous prime is 320303. The next prime is 320317. The reversal of 320313 is 313023.

It is a happy number.

It is not a de Polignac number, because 320313 - 2⁸ = 320057 is a prime.

320313 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 320313.

It is not an unprimeable number, because it can be changed into a prime (320317) 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, 943 + ... + 1236.

It is an arithmetic number, because the mean of its divisors is an integer number (41420).

2³²⁰³¹³ is an apocalyptic number.

It is an amenable number.

320313 is a deficient number, since it is larger than the sum of its proper divisors (176727).

320313 is a wasteful number, since it uses less digits than its factorization.

320313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 320313 is about 565.9620128595. The cubic root of 320313 is about 68.4213315363.

Adding to 320313 its reverse (313023), we get a palindrome (633336).

The spelling of 320313 in words is "three hundred twenty thousand, three hundred thirteen".