34000313209 has 2 divisors, whose sum is σ = 34000313210. Its totient is φ = 34000313208.

The previous prime is 34000313189. The next prime is 34000313213. The reversal of 34000313209 is 90231300043.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33186637584 + 813675625 = 182172^2 + 28525^2 .

It is a cyclic number.

It is not a de Polignac number, because 34000313209 - 2⁵ = 34000313177 is a prime.

It is not a weakly prime, because it can be changed into another prime (34000313239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17000156604 + 17000156605.

It is an arithmetic number, because the mean of its divisors is an integer number (17000156605).

Almost surely, 2^34000313209 is an apocalyptic number.

It is an amenable number.

34000313209 is a deficient number, since it is larger than the sum of its proper divisors (1).

34000313209 is an equidigital number, since it uses as much as digits as its factorization.

34000313209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

The spelling of 34000313209 in words is "thirty-four billion, three hundred thirteen thousand, two hundred nine".