34007947 has 2 divisors, whose sum is σ = 34007948. Its totient is φ = 34007946.

The previous prime is 34007893. The next prime is 34007971. The reversal of 34007947 is 74970043.

34007947 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 34007947 - 2²³ = 25619339 is a prime.

It is not a weakly prime, because it can be changed into another prime (34007977) 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, 17003973 + 17003974.

It is an arithmetic number, because the mean of its divisors is an integer number (17003974).

Almost surely, 2^34007947 is an apocalyptic number.

34007947 is a deficient number, since it is larger than the sum of its proper divisors (1).

34007947 is an equidigital number, since it uses as much as digits as its factorization.

34007947 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 34007947 is about 5831.6333046583. The cubic root of 34007947 is about 323.9864185487.

The spelling of 34007947 in words is "thirty-four million, seven thousand, nine hundred forty-seven".