2267 has 2 divisors, whose sum is σ = 2268. Its totient is φ = 2266.

The previous prime is 2251. The next prime is 2269. The reversal of 2267 is 7622.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2267 - 2⁴ = 2251 is a prime.

Together with 2269, it forms a pair of twin primes.

It is a Chen prime.

It is a magnanimous number.

It is a plaindrome in base 10 and base 12.

It is a nialpdrome in base 8.

It is not a weakly prime, because it can be changed into another prime (2269) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1133 + 1134.

It is an arithmetic number, because the mean of its divisors is an integer number (1134).

2²²⁶⁷ is an apocalyptic number.

2267 is a deficient number, since it is larger than the sum of its proper divisors (1).

2267 is an equidigital number, since it uses as much as digits as its factorization.

2267 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168, while the sum is 17.

The square root of 2267 is about 47.6130234285. The cubic root of 2267 is about 13.1366261309.

Adding to 2267 its reverse (7622), we get a palindrome (9889).

The spelling of 2267 in words is "two thousand, two hundred sixty-seven".