164182254017 has 2 divisors, whose sum is σ = 164182254018. Its totient is φ = 164182254016.

The previous prime is 164182254007. The next prime is 164182254077. The reversal of 164182254017 is 710452281461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120791697601 + 43390556416 = 347551^2 + 208304^2 .

It is a cyclic number.

It is not a de Polignac number, because 164182254017 - 2¹⁴ = 164182237633 is a prime.

It is not a weakly prime, because it can be changed into another prime (164182254007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82091127008 + 82091127009.

It is an arithmetic number, because the mean of its divisors is an integer number (82091127009).

Almost surely, 2^164182254017 is an apocalyptic number.

It is an amenable number.

164182254017 is a deficient number, since it is larger than the sum of its proper divisors (1).

164182254017 is an equidigital number, since it uses as much as digits as its factorization.

164182254017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 107520, while the sum is 41.

The spelling of 164182254017 in words is "one hundred sixty-four billion, one hundred eighty-two million, two hundred fifty-four thousand, seventeen".