33000349 has 8 divisors (see below), whose sum is σ = 34993728. Its totient is φ = 31012800.

The previous prime is 33000343. The next prime is 33000353. The reversal of 33000349 is 94300033.

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 33000349 - 2¹⁵ = 32967581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33000343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16944 + ... + 18790.

It is an arithmetic number, because the mean of its divisors is an integer number (4374216).

Almost surely, 2^33000349 is an apocalyptic number.

It is an amenable number.

33000349 is a deficient number, since it is larger than the sum of its proper divisors (1993379).

33000349 is a wasteful number, since it uses less digits than its factorization.

33000349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915.

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 33000349 is about 5744.5930230087. The cubic root of 33000349 is about 320.7545637324.

The spelling of 33000349 in words is "thirty-three million, three hundred forty-nine", and thus it is an aban number.