164441009 has 2 divisors, whose sum is σ = 164441010. Its totient is φ = 164441008.

The previous prime is 164441003. The next prime is 164441021. The reversal of 164441009 is 900144461.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159946609 + 4494400 = 12647^2 + 2120^2 .

It is a cyclic number.

It is not a de Polignac number, because 164441009 - 2⁴ = 164440993 is a prime.

It is a super-3 number, since 3×164441009³ (a number of 26 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (164441003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82220504 + 82220505.

It is an arithmetic number, because the mean of its divisors is an integer number (82220505).

Almost surely, 2^164441009 is an apocalyptic number.

It is an amenable number.

164441009 is a deficient number, since it is larger than the sum of its proper divisors (1).

164441009 is an equidigital number, since it uses as much as digits as its factorization.

164441009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 164441009 is about 12823.4554235588. The cubic root of 164441009 is about 547.8605691141.

The spelling of 164441009 in words is "one hundred sixty-four million, four hundred forty-one thousand, nine".