34038127 has 2 divisors, whose sum is σ = 34038128. Its totient is φ = 34038126.

The previous prime is 34038119. The next prime is 34038133. The reversal of 34038127 is 72183043.

34038127 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 is an emirp because it is prime and its reverse (72183043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34038127 - 2³ = 34038119 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34038095 and 34038104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34038157) 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, 17019063 + 17019064.

It is an arithmetic number, because the mean of its divisors is an integer number (17019064).

Almost surely, 2^34038127 is an apocalyptic number.

34038127 is a deficient number, since it is larger than the sum of its proper divisors (1).

34038127 is an equidigital number, since it uses as much as digits as its factorization.

34038127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 34038127 is about 5834.2203420851. The cubic root of 34038127 is about 324.0822296749.

The spelling of 34038127 in words is "thirty-four million, thirty-eight thousand, one hundred twenty-seven".