73967040317 has 2 divisors, whose sum is σ = 73967040318. Its totient is φ = 73967040316.

The previous prime is 73967040293. The next prime is 73967040319. The reversal of 73967040317 is 71304076937.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37826749081 + 36140291236 = 194491^2 + 190106^2 .

It is a cyclic number.

It is not a de Polignac number, because 73967040317 - 2⁸ = 73967040061 is a prime.

It is a super-2 number, since 2×73967040317² (a number of 23 digits) contains 22 as substring.

Together with 73967040319, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73967040319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36983520158 + 36983520159.

It is an arithmetic number, because the mean of its divisors is an integer number (36983520159).

Almost surely, 2^73967040317 is an apocalyptic number.

It is an amenable number.

73967040317 is a deficient number, since it is larger than the sum of its proper divisors (1).

73967040317 is an equidigital number, since it uses as much as digits as its factorization.

73967040317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 666792, while the sum is 47.

The spelling of 73967040317 in words is "seventy-three billion, nine hundred sixty-seven million, forty thousand, three hundred seventeen".