34000541 has 2 divisors, whose sum is σ = 34000542. Its totient is φ = 34000540.

The previous prime is 34000529. The next prime is 34000591. The reversal of 34000541 is 14500043.

34000541 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., 28847641 + 5152900 = 5371^2 + 2270^2 .

It is an emirp because it is prime and its reverse (14500043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34000541 - 2¹⁴ = 33984157 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34000501) 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, 17000270 + 17000271.

It is an arithmetic number, because the mean of its divisors is an integer number (17000271).

Almost surely, 2^34000541 is an apocalyptic number.

It is an amenable number.

34000541 is a deficient number, since it is larger than the sum of its proper divisors (1).

34000541 is an equidigital number, since it uses as much as digits as its factorization.

34000541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 34000541 is about 5830.9982850280. The cubic root of 34000541 is about 323.9628983833.

Adding to 34000541 its reverse (14500043), we get a palindrome (48500584).

The spelling of 34000541 in words is "thirty-four million, five hundred forty-one", and thus it is an aban number.