34027033 has 2 divisors, whose sum is σ = 34027034. Its totient is φ = 34027032.

The previous prime is 34027027. The next prime is 34027067. The reversal of 34027033 is 33072043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19829209 + 14197824 = 4453^2 + 3768^2 .

It is a cyclic number.

It is not a de Polignac number, because 34027033 - 2⁹ = 34026521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34026995 and 34027013.

It is not a weakly prime, because it can be changed into another prime (34027093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17013516 + 17013517.

It is an arithmetic number, because the mean of its divisors is an integer number (17013517).

Almost surely, 2^34027033 is an apocalyptic number.

It is an amenable number.

34027033 is a deficient number, since it is larger than the sum of its proper divisors (1).

34027033 is an equidigital number, since it uses as much as digits as its factorization.

34027033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 22.

The square root of 34027033 is about 5833.2694948888. The cubic root of 34027033 is about 324.0470166236.

Adding to 34027033 its reverse (33072043), we get a palindrome (67099076).

The spelling of 34027033 in words is "thirty-four million, twenty-seven thousand, thirty-three".