6313 has 4 divisors (see below), whose sum is σ = 6480. Its totient is φ = 6148.

The previous prime is 6311. The next prime is 6317. The reversal of 6313 is 3136.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 6313 - 2¹ = 6311 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6293 and 6302.

It is not an unprimeable number, because it can be changed into a prime (6311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6 + ... + 112.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

2⁶³¹³ is an apocalyptic number.

It is an amenable number.

6313 is a deficient number, since it is larger than the sum of its proper divisors (167).

6313 is a wasteful number, since it uses less digits than its factorization.

6313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166.

The product of its digits is 54, while the sum is 13.

The square root of 6313 is about 79.4543894319. The cubic root of 6313 is about 18.4818424230.

Adding to 6313 its reverse (3136), we get a palindrome (9449).

The spelling of 6313 in words is "six thousand, three hundred thirteen".