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9733 is a prime number

9733 has 2 divisors, whose sum is σ = 9734. Its totient is φ = 9732.

The previous prime is 9721. The next prime is 9739. The reversal of 9733 is 3379.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9409 + 324 = 97^2 + 18^2 .

It is a cyclic number.

It is not a de Polignac number, because 9733 - 29 = 9221 is a prime.

9733 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is a zygodrome in base 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9739) 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, 4866 + 4867.

It is an arithmetic number, because the mean of its divisors is an integer number (4867).

29733 is an apocalyptic number.

It is an amenable number.

9733 is a deficient number, since it is larger than the sum of its proper divisors (1).

9733 is an equidigital number, since it uses as much as digits as its factorization.

9733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 567, while the sum is 22.

The square root of 9733 is about 98.6559678884. The cubic root of 9733 is about 21.3508699121.

The spelling of 9733 in words is "nine thousand, seven hundred thirty-three".