133303329 has 24 divisors (see below), whose sum is σ = 196744392. Its totient is φ = 86952960.

The previous prime is 133303279. The next prime is 133303337. The reversal of 133303329 is 923303331.

133303329 is a `hidden beast` number, since 1 + 3 + 330 + 3 + 329 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23619600 + 109683729 = 4860^2 + 10473^2 .

It is not a de Polignac number, because 133303329 - 2¹⁷ = 133172257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133303349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89269 + ... + 90749.

It is an arithmetic number, because the mean of its divisors is an integer number (8197683).

Almost surely, 2^133303329 is an apocalyptic number.

It is an amenable number.

133303329 is a deficient number, since it is larger than the sum of its proper divisors (63441063).

133303329 is a wasteful number, since it uses less digits than its factorization.

133303329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

The square root of 133303329 is about 11545.7060849478. The cubic root of 133303329 is about 510.8346310481.

The spelling of 133303329 in words is "one hundred thirty-three million, three hundred three thousand, three hundred twenty-nine".