165217005 has 24 divisors (see below), whose sum is σ = 287845272. Its totient is φ = 87663744.

The previous prime is 165217001. The next prime is 165217007. The reversal of 165217005 is 500712561.

165217005 is a `hidden beast` number, since 1 + 652 + 1 + 7 + 0 + 0 + 5 = 666.

165217005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12299049 + 152917956 = 3507^2 + 12366^2 .

It is not a de Polignac number, because 165217005 - 2² = 165217001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 165217005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165217001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454 + ... + 18183.

It is an arithmetic number, because the mean of its divisors is an integer number (11993553).

Almost surely, 2^165217005 is an apocalyptic number.

165217005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165217005 is a deficient number, since it is larger than the sum of its proper divisors (122628267).

165217005 is a wasteful number, since it uses less digits than its factorization.

165217005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18845 (or 18842 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 165217005 is about 12853.6767113538. The cubic root of 165217005 is about 548.7210005033.

Adding to 165217005 its reverse (500712561), we get a palindrome (665929566).

The spelling of 165217005 in words is "one hundred sixty-five million, two hundred seventeen thousand, five".