2233 has 8 divisors (see below), whose sum is σ = 2880. Its totient is φ = 1680.

The previous prime is 2221. The next prime is 2237. The reversal of 2233 is 3322.

2233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2233 - 2^{9} = 1721 is a prime.

It is a Duffinian number.

2233 is a modest number, since divided by 33 gives 22 as remainder.

It is a plaindrome in base 10 and base 15.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (2237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63 + ... + 91.

It is an arithmetic number, because the mean of its divisors is an integer number (360).

It is an amenable number.

2233 is a deficient number, since it is larger than the sum of its proper divisors (647).

2233 is a wasteful number, since it uses less digits than its factorization.

2233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47.

The product of its digits is 36, while the sum is 10.

The square root of 2233 is about 47.2546294028. The cubic root of 2233 is about 13.0706215758.

Subtracting from 2233 its product of digits (36), we obtain a cube (2197 = 13^{3}).

Adding to 2233 its reverse (3322), we get a palindrome (5555).

Subtracting 2233 from its reverse (3322), we obtain a square (1089 = 33^{2}).

It can be divided in two parts, 22 and 33, that added together give a palindrome (55).

The spelling of 2233 in words is "two thousand, two hundred thirty-three".

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