67733 has 2 divisors, whose sum is σ = 67734. Its totient is φ = 67732.

The previous prime is 67723. The next prime is 67741. The reversal of 67733 is 33776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61009 + 6724 = 247^2 + 82^2 .

It is a cyclic number.

It is not a de Polignac number, because 67733 - 2⁸ = 67477 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33866 + 33867.

It is an arithmetic number, because the mean of its divisors is an integer number (33867).

2⁶⁷⁷³³ is an apocalyptic number.

It is an amenable number.

67733 is a deficient number, since it is larger than the sum of its proper divisors (1).

67733 is an equidigital number, since it uses as much as digits as its factorization.

67733 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2646, while the sum is 26.

The square root of 67733 is about 260.2556435507. The cubic root of 67733 is about 40.7630592844.

It can be divided in two parts, 6773 and 3, that added together give a palindrome (6776).

The spelling of 67733 in words is "sixty-seven thousand, seven hundred thirty-three".