34033213 has 2 divisors, whose sum is σ = 34033214. Its totient is φ = 34033212.

The previous prime is 34033193. The next prime is 34033231. The reversal of 34033213 is 31233043.

34033213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (34033231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26399044 + 7634169 = 5138^2 + 2763^2 .

It is a cyclic number.

It is not a de Polignac number, because 34033213 - 2²¹ = 31936061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34033243) 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, 17016606 + 17016607.

It is an arithmetic number, because the mean of its divisors is an integer number (17016607).

Almost surely, 2^34033213 is an apocalyptic number.

It is an amenable number.

34033213 is a deficient number, since it is larger than the sum of its proper divisors (1).

34033213 is an equidigital number, since it uses as much as digits as its factorization.

34033213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 34033213 is about 5833.7991909218. The cubic root of 34033213 is about 324.0666332750.

Adding to 34033213 its reverse (31233043), we get a palindrome (65266256).

The spelling of 34033213 in words is "thirty-four million, thirty-three thousand, two hundred thirteen".