66733 has 2 divisors, whose sum is σ = 66734. Its totient is φ = 66732.

The previous prime is 66721. The next prime is 66739. The reversal of 66733 is 33766.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 169 = 258^2 + 13^2 .

It is a cyclic number.

It is not a de Polignac number, because 66733 - 2⁵ = 66701 is a prime.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 66698 and 66707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66739) 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, 33366 + 33367.

It is an arithmetic number, because the mean of its divisors is an integer number (33367).

2⁶⁶⁷³³ is an apocalyptic number.

It is an amenable number.

66733 is a deficient number, since it is larger than the sum of its proper divisors (1).

66733 is an equidigital number, since it uses as much as digits as its factorization.

66733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 25.

The square root of 66733 is about 258.3273117578. The cubic root of 66733 is about 40.5614572703.

The spelling of 66733 in words is "sixty-six thousand, seven hundred thirty-three".