8313 has 8 divisors (see below), whose sum is σ = 11808. Its totient is φ = 5184.

The previous prime is 8311. The next prime is 8317. The reversal of 8313 is 3138.

8313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 8313 - 2¹ = 8311 is a prime.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 8292 and 8301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8311) 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, 31 + ... + 132.

It is an arithmetic number, because the mean of its divisors is an integer number (1476).

It is an amenable number.

8313 is a deficient number, since it is larger than the sum of its proper divisors (3495).

8313 is a wasteful number, since it uses less digits than its factorization.

8313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183.

The product of its digits is 72, while the sum is 15.

The square root of 8313 is about 91.1756546453. The cubic root of 8313 is about 20.2575036968.

Adding to 8313 its product of digits (72), we get a triangular number (8385 = T₁₂₉).

The spelling of 8313 in words is "eight thousand, three hundred thirteen".