6311 has 2 divisors, whose sum is σ = 6312. Its totient is φ = 6310.

The previous prime is 6301. The next prime is 6317. The reversal of 6311 is 1136.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 6311 - 2⁶ = 6247 is a prime.

It is a Chen prime.

It is equal to p₈₂₁ and since 6311 and 821 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6292 and 6301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3155 + 3156.

It is an arithmetic number, because the mean of its divisors is an integer number (3156).

2⁶³¹¹ is an apocalyptic number.

6311 is a deficient number, since it is larger than the sum of its proper divisors (1).

6311 is an equidigital number, since it uses as much as digits as its factorization.

6311 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18, while the sum is 11.

The square root of 6311 is about 79.4418025979. The cubic root of 6311 is about 18.4798904937.

Adding to 6311 its reverse (1136), we get a palindrome (7447).

The spelling of 6311 in words is "six thousand, three hundred eleven".