34193016937 has 2 divisors, whose sum is σ = 34193016938. Its totient is φ = 34193016936.

The previous prime is 34193016931. The next prime is 34193016947. The reversal of 34193016937 is 73961039143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22929227776 + 11263789161 = 151424^2 + 106131^2 .

It is an emirp because it is prime and its reverse (73961039143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34193016937 - 2¹⁵ = 34192984169 is a prime.

It is not a weakly prime, because it can be changed into another prime (34193016931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17096508468 + 17096508469.

It is an arithmetic number, because the mean of its divisors is an integer number (17096508469).

Almost surely, 2^34193016937 is an apocalyptic number.

It is an amenable number.

34193016937 is a deficient number, since it is larger than the sum of its proper divisors (1).

34193016937 is an equidigital number, since it uses as much as digits as its factorization.

34193016937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 367416, while the sum is 46.

The spelling of 34193016937 in words is "thirty-four billion, one hundred ninety-three million, sixteen thousand, nine hundred thirty-seven".