1233 has 6 divisors (see below), whose sum is σ = 1794. Its totient is φ = 816.

The previous prime is 1231. The next prime is 1237. The reversal of 1233 is 3321.

Adding to 1233 its reverse (3321), we get a palindrome (4554).

It can be divided in two parts, 12 and 33, that added together give a triangular number (45 = T_{9}).

It is a happy number.

1233 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 1089 + 144 = 33^2 + 12^2 .

It is not a de Polignac number, because 1233 - 2^{1} = 1231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 137 = 1233 / (1 + 2 + 3 + 3).

1233 is a modest number, since divided by 33 gives 12 as remainder.

It is a Curzon number.

1233 is a lucky number.

It is a plaindrome in base 10.

It is a nialpdrome in base 11 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231) 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 in 5 ways as a sum of consecutive naturals, for example, 60 + ... + 77.

It is an arithmetic number, because the mean of its divisors is an integer number (299).

It is an amenable number.

1233 is a deficient number, since it is larger than the sum of its proper divisors (561).

1233 is a wasteful number, since it uses less digits than its factorization.

1233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 140 counting only the distinct ones).

The product of its digits is 18, while the sum is 9.

The square root of 1233 is about 35.1140997322. The cubic root of 1233 is about 10.7231165291.

The spelling of 1233 in words is "one thousand, two hundred thirty-three".

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