164085567097 has 2 divisors, whose sum is σ = 164085567098. Its totient is φ = 164085567096.

The previous prime is 164085567091. The next prime is 164085567131. The reversal of 164085567097 is 790765580461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121870111801 + 42215455296 = 349099^2 + 205464^2 .

It is a cyclic number.

It is not a de Polignac number, because 164085567097 - 2¹⁵ = 164085534329 is a prime.

It is not a weakly prime, because it can be changed into another prime (164085567091) 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, 82042783548 + 82042783549.

It is an arithmetic number, because the mean of its divisors is an integer number (82042783549).

Almost surely, 2^164085567097 is an apocalyptic number.

It is an amenable number.

164085567097 is a deficient number, since it is larger than the sum of its proper divisors (1).

164085567097 is an equidigital number, since it uses as much as digits as its factorization.

164085567097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 164085567097 in words is "one hundred sixty-four billion, eighty-five million, five hundred sixty-seven thousand, ninety-seven".