10333 has 2 divisors, whose sum is σ = 10334. Its totient is φ = 10332.

The previous prime is 10331. The next prime is 10337. The reversal of 10333 is 33301.

Adding to 10333 its reverse (33301), we get a palindrome (43634).

It can be divided in two parts, 103 and 33, that added together give a triangular number (136 = T_{16}).

It is a happy number.

10333 is nontrivially palindromic in base 9.

10333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 42-nd star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 729 = 98^2 + 27^2 .

It is an emirp because it is prime and its reverse (33301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10333 - 2^{1} = 10331 is a prime.

Together with 10331, it forms a pair of twin primes.

10333 is an undulating number in base 9.

10333 is a modest number, since divided by 333 gives 10 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10331) 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 as a sum of consecutive naturals, namely, 5166 + 5167.

It is an arithmetic number, because the mean of its divisors is an integer number (5167).

2^{10333} is an apocalyptic number.

It is an amenable number.

10333 is a deficient number, since it is larger than the sum of its proper divisors (1).

10333 is an equidigital number, since it uses as much as digits as its factorization.

10333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 10333 is about 101.6513649687. The cubic root of 10333 is about 21.7808827155.

The spelling of 10333 in words is "ten thousand, three hundred thirty-three".

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