165505005 has 16 divisors (see below), whose sum is σ = 294231360. Its totient is φ = 88269264.

The previous prime is 165504967. The next prime is 165505009. The reversal of 165505005 is 500505561.

165505005 is a `hidden beast` number, since 1 + 655 + 0 + 5 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 165505005 - 2¹¹ = 165502957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 165505005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165505009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612847 + ... + 613116.

It is an arithmetic number, because the mean of its divisors is an integer number (18389460).

Almost surely, 2^165505005 is an apocalyptic number.

165505005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165505005 is a deficient number, since it is larger than the sum of its proper divisors (128726355).

165505005 is a wasteful number, since it uses less digits than its factorization.

165505005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225977 (or 1225971 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 165505005 is about 12864.8748536470. The cubic root of 165505005 is about 549.0396519481.

The spelling of 165505005 in words is "one hundred sixty-five million, five hundred five thousand, five".