34006727 has 2 divisors, whose sum is σ = 34006728. Its totient is φ = 34006726.

The previous prime is 34006703. The next prime is 34006757. The reversal of 34006727 is 72760043.

34006727 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 34006727 - 2⁸ = 34006471 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34006727.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34006757) 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, 17003363 + 17003364.

It is an arithmetic number, because the mean of its divisors is an integer number (17003364).

Almost surely, 2^34006727 is an apocalyptic number.

34006727 is a deficient number, since it is larger than the sum of its proper divisors (1).

34006727 is an equidigital number, since it uses as much as digits as its factorization.

34006727 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 34006727 is about 5831.5287018071. The cubic root of 34006727 is about 323.9825442763.

The spelling of 34006727 in words is "thirty-four million, six thousand, seven hundred twenty-seven".