34027657273 has 2 divisors, whose sum is σ = 34027657274. Its totient is φ = 34027657272.

The previous prime is 34027657247. The next prime is 34027657277. The reversal of 34027657273 is 37275672043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27344921769 + 6682735504 = 165363^2 + 81748^2 .

It is a cyclic number.

It is not a de Polignac number, because 34027657273 - 2⁵ = 34027657241 is a prime.

It is not a weakly prime, because it can be changed into another prime (34027657277) 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, 17013828636 + 17013828637.

It is an arithmetic number, because the mean of its divisors is an integer number (17013828637).

Almost surely, 2^34027657273 is an apocalyptic number.

It is an amenable number.

34027657273 is a deficient number, since it is larger than the sum of its proper divisors (1).

34027657273 is an equidigital number, since it uses as much as digits as its factorization.

34027657273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1481760, while the sum is 46.

The spelling of 34027657273 in words is "thirty-four billion, twenty-seven million, six hundred fifty-seven thousand, two hundred seventy-three".