33135233 has 2 divisors, whose sum is σ = 33135234. Its totient is φ = 33135232.

The previous prime is 33135217. The next prime is 33135251. The reversal of 33135233 is 33253133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33085504 + 49729 = 5752^2 + 223^2 .

It is an emirp because it is prime and its reverse (33253133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33135233 - 2⁴ = 33135217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33135199 and 33135208.

It is not a weakly prime, because it can be changed into another prime (33135283) 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, 16567616 + 16567617.

It is an arithmetic number, because the mean of its divisors is an integer number (16567617).

Almost surely, 2^33135233 is an apocalyptic number.

It is an amenable number.

33135233 is a deficient number, since it is larger than the sum of its proper divisors (1).

33135233 is an equidigital number, since it uses as much as digits as its factorization.

33135233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2430, while the sum is 23.

The square root of 33135233 is about 5756.3211341967. The cubic root of 33135233 is about 321.1909818051.

Adding to 33135233 its reverse (33253133), we get a palindrome (66388366).

The spelling of 33135233 in words is "thirty-three million, one hundred thirty-five thousand, two hundred thirty-three".