34000287617 has 2 divisors, whose sum is σ = 34000287618. Its totient is φ = 34000287616.

The previous prime is 34000287583. The next prime is 34000287631. The reversal of 34000287617 is 71678200043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33154583056 + 845704561 = 182084^2 + 29081^2 .

It is an emirp because it is prime and its reverse (71678200043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34000287617 - 2⁶ = 34000287553 is a prime.

It is not a weakly prime, because it can be changed into another prime (34000287647) 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, 17000143808 + 17000143809.

It is an arithmetic number, because the mean of its divisors is an integer number (17000143809).

Almost surely, 2^34000287617 is an apocalyptic number.

It is an amenable number.

34000287617 is a deficient number, since it is larger than the sum of its proper divisors (1).

34000287617 is an equidigital number, since it uses as much as digits as its factorization.

34000287617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 34000287617 in words is "thirty-four billion, two hundred eighty-seven thousand, six hundred seventeen".