34005971 has 2 divisors, whose sum is σ = 34005972. Its totient is φ = 34005970.

The previous prime is 34005941. The next prime is 34006033. The reversal of 34005971 is 17950043.

34005971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 34005971 - 2¹⁴ = 33989587 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34005911) 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, 17002985 + 17002986.

It is an arithmetic number, because the mean of its divisors is an integer number (17002986).

Almost surely, 2^34005971 is an apocalyptic number.

34005971 is a deficient number, since it is larger than the sum of its proper divisors (1).

34005971 is an equidigital number, since it uses as much as digits as its factorization.

34005971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 34005971 is about 5831.4638813938. The cubic root of 34005971 is about 323.9801434511.

The spelling of 34005971 in words is "thirty-four million, five thousand, nine hundred seventy-one".