133733 has 2 divisors, whose sum is σ = 133734. Its totient is φ = 133732.

The previous prime is 133723. The next prime is 133769. The reversal of 133733 is 337331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113569 + 20164 = 337^2 + 142^2 .

It is a cyclic number.

It is not a de Polignac number, because 133733 - 2⁴ = 133717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133723) 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, 66866 + 66867.

It is an arithmetic number, because the mean of its divisors is an integer number (66867).

2¹³³⁷³³ is an apocalyptic number.

It is an amenable number.

133733 is a deficient number, since it is larger than the sum of its proper divisors (1).

133733 is an equidigital number, since it uses as much as digits as its factorization.

133733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 567, while the sum is 20.

The square root of 133733 is about 365.6952282981. The cubic root of 133733 is about 51.1382892982.

The spelling of 133733 in words is "one hundred thirty-three thousand, seven hundred thirty-three".