34006033 has 2 divisors, whose sum is σ = 34006034. Its totient is φ = 34006032.

The previous prime is 34005971. The next prime is 34006057. The reversal of 34006033 is 33060043.

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., 17740944 + 16265089 = 4212^2 + 4033^2 .

It is a cyclic number.

It is not a de Polignac number, because 34006033 - 2¹⁷ = 33874961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34006033.

It is not a weakly prime, because it can be changed into another prime (34006073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17003016 + 17003017.

It is an arithmetic number, because the mean of its divisors is an integer number (17003017).

Almost surely, 2^34006033 is an apocalyptic number.

It is an amenable number.

34006033 is a deficient number, since it is larger than the sum of its proper divisors (1).

34006033 is an equidigital number, since it uses as much as digits as its factorization.

34006033 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 34006033 is about 5831.4691973807. The cubic root of 34006033 is about 323.9803403455.

Adding to 34006033 its reverse (33060043), we get a palindrome (67066076).

The spelling of 34006033 in words is "thirty-four million, six thousand, thirty-three".