33006349 has 2 divisors, whose sum is σ = 33006350. Its totient is φ = 33006348.

The previous prime is 33006341. The next prime is 33006371. The reversal of 33006349 is 94360033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30140100 + 2866249 = 5490^2 + 1693^2 .

It is an emirp because it is prime and its reverse (94360033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33006349 - 2³ = 33006341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33006341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16503174 + 16503175.

It is an arithmetic number, because the mean of its divisors is an integer number (16503175).

Almost surely, 2^33006349 is an apocalyptic number.

It is an amenable number.

33006349 is a deficient number, since it is larger than the sum of its proper divisors (1).

33006349 is an equidigital number, since it uses as much as digits as its factorization.

33006349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

The square root of 33006349 is about 5745.1152294797. The cubic root of 33006349 is about 320.7740020194.

The spelling of 33006349 in words is "thirty-three million, six thousand, three hundred forty-nine".