34134310073 has 2 divisors, whose sum is σ = 34134310074. Its totient is φ = 34134310072.

The previous prime is 34134310037. The next prime is 34134310157. The reversal of 34134310073 is 37001343143.

Together with previous prime (34134310037) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31183321744 + 2950988329 = 176588^2 + 54323^2 .

It is a cyclic number.

It is not a de Polignac number, because 34134310073 - 2³² = 29839342777 is a prime.

It is a super-2 number, since 2×34134310073² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34134300073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067155036 + 17067155037.

It is an arithmetic number, because the mean of its divisors is an integer number (17067155037).

Almost surely, 2^34134310073 is an apocalyptic number.

It is an amenable number.

34134310073 is a deficient number, since it is larger than the sum of its proper divisors (1).

34134310073 is an equidigital number, since it uses as much as digits as its factorization.

34134310073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 29.

The spelling of 34134310073 in words is "thirty-four billion, one hundred thirty-four million, three hundred ten thousand, seventy-three".