165100009 has 2 divisors, whose sum is σ = 165100010. Its totient is φ = 165100008.

The previous prime is 165099983. The next prime is 165100021. The reversal of 165100009 is 900001561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134629609 + 30470400 = 11603^2 + 5520^2 .

It is an emirp because it is prime and its reverse (900001561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165100009 - 2⁷ = 165099881 is a prime.

It is not a weakly prime, because it can be changed into another prime (165100409) 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, 82550004 + 82550005.

It is an arithmetic number, because the mean of its divisors is an integer number (82550005).

Almost surely, 2^165100009 is an apocalyptic number.

It is an amenable number.

165100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

165100009 is an equidigital number, since it uses as much as digits as its factorization.

165100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 165100009 is about 12849.1248340111. The cubic root of 165100009 is about 548.5914470072.

The spelling of 165100009 in words is "one hundred sixty-five million, one hundred thousand, nine".