2311 has 2 divisors, whose sum is σ = 2312. Its totient is φ = 2310.

The previous prime is 2309. The next prime is 2333. The reversal of 2311 is 1132.

Adding to 2311 its reverse (1132), we get a palindrome (3443).

It can be divided in two parts, 231 and 1, that added together give a palindrome (232).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2311 - 2^{1} = 2309 is a prime.

Together with 2309, it forms a pair of twin primes.

2311 is a lucky number.

It is a nialpdrome in base 5, base 7, base 14 and base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2294 and 2303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1155 + 1156.

It is an arithmetic number, because the mean of its divisors is an integer number (1156).

2^{2311} is an apocalyptic number.

2311 is the 22-nd centered decagonal number.

2311 is a deficient number, since it is larger than the sum of its proper divisors (1).

2311 is an equidigital number, since it uses as much as digits as its factorization.

2311 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6, while the sum is 7.

The square root of 2311 is about 48.0728613669. The cubic root of 2311 is about 13.2210713349.

The spelling of 2311 in words is "two thousand, three hundred eleven", and thus it is an iban number.

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