802166189730173 has 2 divisors, whose sum is σ = 802166189730174. Its totient is φ = 802166189730172.

The previous prime is 802166189730083. The next prime is 802166189730187. The reversal of 802166189730173 is 371037981661208.

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., 453661586244889 + 348504603485284 = 21299333^2 + 18668278^2 .

It is a cyclic number.

It is not a de Polignac number, because 802166189730173 - 2¹⁸ = 802166189468029 is a prime.

It is a super-3 number, since 3×802166189730173³ (a number of 46 digits) contains 333 as substring.

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 (802166189730673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 401083094865086 + 401083094865087.

It is an arithmetic number, because the mean of its divisors is an integer number (401083094865087).

Almost surely, 2^{802166189730173} is an apocalyptic number.

It is an amenable number.

802166189730173 is a deficient number, since it is larger than the sum of its proper divisors (1).

802166189730173 is an equidigital number, since it uses as much as digits as its factorization.

802166189730173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18289152, while the sum is 62.

The spelling of 802166189730173 in words is "eight hundred two trillion, one hundred sixty-six billion, one hundred eighty-nine million, seven hundred thirty thousand, one hundred seventy-three".