6733 has 2 divisors, whose sum is σ = 6734. Its totient is φ = 6732.

The previous prime is 6719. The next prime is 6737. The reversal of 6733 is 3376.

It is a happy number.

It is the 34-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6724 + 9 = 82^2 + 3^2 .

It is a cyclic number.

It is not a de Polignac number, because 6733 - 2⁵ = 6701 is a prime.

6733 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 6733.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6737) 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, 3366 + 3367.

It is an arithmetic number, because the mean of its divisors is an integer number (3367).

2⁶⁷³³ is an apocalyptic number.

It is an amenable number.

6733 is a deficient number, since it is larger than the sum of its proper divisors (1).

6733 is an equidigital number, since it uses as much as digits as its factorization.

6733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 19.

The square root of 6733 is about 82.0548596976. The cubic root of 6733 is about 18.8829367379.

It can be divided in two parts, 673 and 3, that added together give a palindrome (676).

The spelling of 6733 in words is "six thousand, seven hundred thirty-three".