34164601 has 2 divisors, whose sum is σ = 34164602. Its totient is φ = 34164600.

The previous prime is 34164593. The next prime is 34164607. The reversal of 34164601 is 10646143.

34164601 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 can be written as a sum of positive squares in only one way, i.e., 34164025 + 576 = 5845^2 + 24^2 .

It is an emirp because it is prime and its reverse (10646143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34164601 - 2³ = 34164593 is a prime.

It is a super-2 number, since 2×34164601² = 2334439922978402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34164607) 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, 17082300 + 17082301.

It is an arithmetic number, because the mean of its divisors is an integer number (17082301).

Almost surely, 2^34164601 is an apocalyptic number.

It is an amenable number.

34164601 is a deficient number, since it is larger than the sum of its proper divisors (1).

34164601 is an equidigital number, since it uses as much as digits as its factorization.

34164601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 34164601 is about 5845.0492726751. The cubic root of 34164601 is about 324.4831263390.

The spelling of 34164601 in words is "thirty-four million, one hundred sixty-four thousand, six hundred one".