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233 is a prime number

233 has 2 divisors, whose sum is σ = 234. Its totient is φ = 232.

The previous prime is 229. The next prime is 239. The reversal of 233 is 332.

It is the 13-th Fibonacci number F13.

233 is nontrivially palindromic in base 3.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169 + 64 = 13^2 + 8^2 .

233 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 233 - 22 = 229 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

233 is a modest number, since divided by 33 gives 2 as remainder.

It is a Curzon number.

It is a plaindrome in base 9, base 10, base 13 and base 14.

It is a nialpdrome in base 4 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 233.

It is not a weakly prime, because it can be changed into another prime (239) 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, 116 + 117.

It is an arithmetic number, because the mean of its divisors is an integer number (117).

It is an amenable number.

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

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

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

The product of its digits is 18, while the sum is 8.

The square root of 233 is about 15.2643375225. The cubic root of 233 is about 6.1534494937.

Adding to 233 its reverse (332), we get a palindrome (565).

Subtracting 233 from its reverse (332), we obtain a palindrome (99).

It can be divided in two parts, 2 and 33, that multiplied together give a palindrome (66).

The spelling of 233 in words is "two hundred thirty-three", and thus it is an aban number.