205216017 has 16 divisors (see below), whose sum is σ = 292749120. Its totient is φ = 127483200.

The previous prime is 205216003. The next prime is 205216019. The reversal of 205216017 is 710612502.

It is not a de Polignac number, because 205216017 - 2⁷ = 205215889 is a prime.

It is a super-2 number, since 2×205216017² = 84227227266688578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205216019) 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 15 ways as a sum of consecutive naturals, for example, 26034 + ... + 32987.

It is an arithmetic number, because the mean of its divisors is an integer number (18296820).

Almost surely, 2^205216017 is an apocalyptic number.

It is an amenable number.

205216017 is a deficient number, since it is larger than the sum of its proper divisors (87533103).

205216017 is a wasteful number, since it uses less digits than its factorization.

205216017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59104.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 205216017 is about 14325.3627179210. The cubic root of 205216017 is about 589.8438895605.

Adding to 205216017 its reverse (710612502), we get a palindrome (915828519).

The spelling of 205216017 in words is "two hundred five million, two hundred sixteen thousand, seventeen".