33968329 has 8 divisors (see below), whose sum is σ = 36032040. Its totient is φ = 31911936.

The previous prime is 33968321. The next prime is 33968339. The reversal of 33968329 is 92386933.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 328329 + 33640000 = 573^2 + 5800^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33968329 - 2³ = 33968321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33968321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9957 + ... + 12925.

It is an arithmetic number, because the mean of its divisors is an integer number (4504005).

Almost surely, 2^33968329 is an apocalyptic number.

It is an amenable number.

33968329 is a deficient number, since it is larger than the sum of its proper divisors (2063711).

33968329 is a wasteful number, since it uses less digits than its factorization.

33968329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659.

The product of its digits is 209952, while the sum is 43.

The square root of 33968329 is about 5828.2354962716. The cubic root of 33968329 is about 323.8605589320.

The spelling of 33968329 in words is "thirty-three million, nine hundred sixty-eight thousand, three hundred twenty-nine".