205305165 has 128 divisors (see below), whose sum is σ = 425779200. Its totient is φ = 93000960.

The previous prime is 205305143. The next prime is 205305167. The reversal of 205305165 is 561503502.

205305165 is a `hidden beast` number, since 20 + 530 + 51 + 65 = 666.

It is not a de Polignac number, because 205305165 - 2¹⁴ = 205288781 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205305167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1567150 + ... + 1567280.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 2^205305165 is an apocalyptic number.

It is an amenable number.

205305165 is an abundant number, since it is smaller than the sum of its proper divisors (220474035).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205305165 is a wasteful number, since it uses less digits than its factorization.

205305165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 205305165 is about 14328.4739243229. The cubic root of 205305165 is about 589.9292886624.

Adding to 205305165 its reverse (561503502), we get a palindrome (766808667).

The spelling of 205305165 in words is "two hundred five million, three hundred five thousand, one hundred sixty-five".