164072009 has 2 divisors, whose sum is σ = 164072010. Its totient is φ = 164072008.

The previous prime is 164072003. The next prime is 164072017. The reversal of 164072009 is 900270461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109725625 + 54346384 = 10475^2 + 7372^2 .

It is a cyclic number.

It is not a de Polignac number, because 164072009 - 2²⁴ = 147294793 is a prime.

It is not a weakly prime, because it can be changed into another prime (164072003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82036004 + 82036005.

It is an arithmetic number, because the mean of its divisors is an integer number (82036005).

Almost surely, 2^164072009 is an apocalyptic number.

It is an amenable number.

164072009 is a deficient number, since it is larger than the sum of its proper divisors (1).

164072009 is an equidigital number, since it uses as much as digits as its factorization.

164072009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 164072009 is about 12809.0596454228. The cubic root of 164072009 is about 547.4504687509.

The spelling of 164072009 in words is "one hundred sixty-four million, seventy-two thousand, nine".