2263 has 4 divisors (see below), whose sum is σ = 2368. Its totient is φ = 2160.

The previous prime is 2251. The next prime is 2267. The reversal of 2263 is 3622.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 3622 = 2 ⋅1811.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2263 is a prime.

It is a d-powerful number, because it can be written as 2⁷ + 6 + 2¹¹ + 3⁴ .

It is a Duffinian number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267) 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 in 3 ways as a sum of consecutive naturals, for example, 6 + ... + 67.

It is an arithmetic number, because the mean of its divisors is an integer number (592).

2263 is a deficient number, since it is larger than the sum of its proper divisors (105).

2263 is an equidigital number, since it uses as much as digits as its factorization.

2263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104.

The product of its digits is 72, while the sum is 13.

The square root of 2263 is about 47.5709995691. The cubic root of 2263 is about 13.1288952913.

Adding to 2263 its reverse (3622), we get a palindrome (5885).

The spelling of 2263 in words is "two thousand, two hundred sixty-three".