34007893 has 2 divisors, whose sum is σ = 34007894. Its totient is φ = 34007892.

The previous prime is 34007873. The next prime is 34007947. The reversal of 34007893 is 39870043.

34007893 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 can be written as a sum of positive squares in only one way, i.e., 23882769 + 10125124 = 4887^2 + 3182^2 .

It is an emirp because it is prime and its reverse (39870043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34007893 - 2⁵ = 34007861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34007833) 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, 17003946 + 17003947.

It is an arithmetic number, because the mean of its divisors is an integer number (17003947).

Almost surely, 2^34007893 is an apocalyptic number.

It is an amenable number.

34007893 is a deficient number, since it is larger than the sum of its proper divisors (1).

34007893 is an equidigital number, since it uses as much as digits as its factorization.

34007893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 34007893 is about 5831.6286747357. The cubic root of 34007893 is about 323.9862470665.

The spelling of 34007893 in words is "thirty-four million, seven thousand, eight hundred ninety-three".