165179905 has 32 divisors (see below), whose sum is σ = 238940928. Its totient is φ = 108134400.

The previous prime is 165179893. The next prime is 165179909. The reversal of 165179905 is 509971561.

It is not a de Polignac number, because 165179905 - 2¹⁷ = 165048833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165179909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17665 + ... + 25345.

It is an arithmetic number, because the mean of its divisors is an integer number (7466904).

Almost surely, 2^165179905 is an apocalyptic number.

It is an amenable number.

165179905 is a deficient number, since it is larger than the sum of its proper divisors (73761023).

165179905 is a wasteful number, since it uses less digits than its factorization.

165179905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7737.

The product of its (nonzero) digits is 85050, while the sum is 43.

The square root of 165179905 is about 12852.2334634880. The cubic root of 165179905 is about 548.6799250843.

The spelling of 165179905 in words is "one hundred sixty-five million, one hundred seventy-nine thousand, nine hundred five".