34142223217 has 2 divisors, whose sum is σ = 34142223218. Its totient is φ = 34142223216.

The previous prime is 34142223179. The next prime is 34142223229. The reversal of 34142223217 is 71232224143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27703605136 + 6438618081 = 166444^2 + 80241^2 .

It is an emirp because it is prime and its reverse (71232224143) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34142223217 is a prime.

It is not a weakly prime, because it can be changed into another prime (34142223257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17071111608 + 17071111609.

It is an arithmetic number, because the mean of its divisors is an integer number (17071111609).

Almost surely, 2^34142223217 is an apocalyptic number.

It is an amenable number.

34142223217 is a deficient number, since it is larger than the sum of its proper divisors (1).

34142223217 is an equidigital number, since it uses as much as digits as its factorization.

34142223217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 31.

The spelling of 34142223217 in words is "thirty-four billion, one hundred forty-two million, two hundred twenty-three thousand, two hundred seventeen".