165005199 has 24 divisors (see below), whose sum is σ = 243285120. Its totient is φ = 107745792.

The previous prime is 165005189. The next prime is 165005221. The reversal of 165005199 is 991500561.

165005199 is a `hidden beast` number, since 16 + 500 + 51 + 99 = 666.

It is not a de Polignac number, because 165005199 - 2⁹ = 165004687 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165005119) 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 in 23 ways as a sum of consecutive naturals, for example, 89602 + ... + 91424.

It is an arithmetic number, because the mean of its divisors is an integer number (10136880).

Almost surely, 2^165005199 is an apocalyptic number.

165005199 is a deficient number, since it is larger than the sum of its proper divisors (78279921).

165005199 is a wasteful number, since it uses less digits than its factorization.

165005199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 165005199 is about 12845.4349478716. The cubic root of 165005199 is about 548.4864158917.

The spelling of 165005199 in words is "one hundred sixty-five million, five thousand, one hundred ninety-nine".