67164709973 has 2 divisors, whose sum is σ = 67164709974. Its totient is φ = 67164709972.

The previous prime is 67164709961. The next prime is 67164710017. The reversal of 67164709973 is 37990746176.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56177058289 + 10987651684 = 237017^2 + 104822^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-67164709973 is a prime.

It is a super-3 number, since 3×67164709973³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67164709933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33582354986 + 33582354987.

It is an arithmetic number, because the mean of its divisors is an integer number (33582354987).

Almost surely, 2^67164709973 is an apocalyptic number.

It is an amenable number.

67164709973 is a deficient number, since it is larger than the sum of its proper divisors (1).

67164709973 is an equidigital number, since it uses as much as digits as its factorization.

67164709973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12002256, while the sum is 59.

The spelling of 67164709973 in words is "sixty-seven billion, one hundred sixty-four million, seven hundred nine thousand, nine hundred seventy-three".