34005137 has 2 divisors, whose sum is σ = 34005138. Its totient is φ = 34005136.

The previous prime is 34005077. The next prime is 34005143. The reversal of 34005137 is 73150043.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33166081 + 839056 = 5759^2 + 916^2 .

It is an emirp because it is prime and its reverse (73150043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34005137 - 2⁶ = 34005073 is a prime.

It is not a weakly prime, because it can be changed into another prime (34005337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17002568 + 17002569.

It is an arithmetic number, because the mean of its divisors is an integer number (17002569).

Almost surely, 2^34005137 is an apocalyptic number.

It is an amenable number.

34005137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34005137 is an equidigital number, since it uses as much as digits as its factorization.

34005137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 34005137 is about 5831.3923723241. The cubic root of 34005137 is about 323.9774948805.

The spelling of 34005137 in words is "thirty-four million, five thousand, one hundred thirty-seven".