205039017 has 12 divisors (see below), whose sum is σ = 298055940. Its totient is φ = 135821088.

The previous prime is 205038947. The next prime is 205039061. The reversal of 205039017 is 710930502.

It can be written as a sum of positive squares in 2 ways, for example, as 26255376 + 178783641 = 5124^2 + 13371^2 .

It is not a de Polignac number, because 205039017 - 2¹⁰ = 205037993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205039067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71142 + ... + 73967.

It is an arithmetic number, because the mean of its divisors is an integer number (24837995).

Almost surely, 2^205039017 is an apocalyptic number.

It is an amenable number.

205039017 is a deficient number, since it is larger than the sum of its proper divisors (93016923).

205039017 is a wasteful number, since it uses less digits than its factorization.

205039017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145272 (or 145269 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 205039017 is about 14319.1835311934. The cubic root of 205039017 is about 589.6742595283.

Adding to 205039017 its reverse (710930502), we get a palindrome (915969519).

The spelling of 205039017 in words is "two hundred five million, thirty-nine thousand, seventeen".