34123132217 has 2 divisors, whose sum is σ = 34123132218. Its totient is φ = 34123132216.

The previous prime is 34123132157. The next prime is 34123132243. The reversal of 34123132217 is 71223132143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33006168976 + 1116963241 = 181676^2 + 33421^2 .

It is a cyclic number.

It is not a de Polignac number, because 34123132217 - 2¹⁴ = 34123115833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34123132217.

It is not a weakly prime, because it can be changed into another prime (34123132297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17061566108 + 17061566109.

It is an arithmetic number, because the mean of its divisors is an integer number (17061566109).

Almost surely, 2^34123132217 is an apocalyptic number.

It is an amenable number.

34123132217 is a deficient number, since it is larger than the sum of its proper divisors (1).

34123132217 is an equidigital number, since it uses as much as digits as its factorization.

34123132217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6048, while the sum is 29.

The spelling of 34123132217 in words is "thirty-four billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred seventeen".