33000001 has 2 divisors, whose sum is σ = 33000002. Its totient is φ = 33000000.

The previous prime is 32999983. The next prime is 33000007. The reversal of 33000001 is 10000033.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25492401 + 7507600 = 5049^2 + 2740^2 .

It is a cyclic number.

It is not a de Polignac number, because 33000001 - 2⁹ = 32999489 is a prime.

It is not a weakly prime, because it can be changed into another prime (33000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16500000 + 16500001.

It is an arithmetic number, because the mean of its divisors is an integer number (16500001).

Almost surely, 2^33000001 is an apocalyptic number.

It is an amenable number.

33000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

33000001 is an equidigital number, since it uses as much as digits as its factorization.

33000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 33000001 is about 5744.5627335769. The cubic root of 33000001 is about 320.7534362395.

Adding to 33000001 its reverse (10000033), we get a palindrome (43000034).

The spelling of 33000001 in words is "thirty-three million, one", and thus it is an aban number and an uban number.