34137329 has 2 divisors, whose sum is σ = 34137330. Its totient is φ = 34137328.

The previous prime is 34137289. The next prime is 34137361. The reversal of 34137329 is 92373143.

It is an a-pointer prime, because the next prime (34137361) can be obtained adding 34137329 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21641104 + 12496225 = 4652^2 + 3535^2 .

It is an emirp because it is prime and its reverse (92373143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34137329 - 2²⁰ = 33088753 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34137295 and 34137304.

It is not a weakly prime, because it can be changed into another prime (34137029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17068664 + 17068665.

It is an arithmetic number, because the mean of its divisors is an integer number (17068665).

Almost surely, 2^34137329 is an apocalyptic number.

It is an amenable number.

34137329 is a deficient number, since it is larger than the sum of its proper divisors (1).

34137329 is an equidigital number, since it uses as much as digits as its factorization.

34137329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 32.

The square root of 34137329 is about 5842.7158924596. The cubic root of 34137329 is about 324.3967634637.

The spelling of 34137329 in words is "thirty-four million, one hundred thirty-seven thousand, three hundred twenty-nine".