205035017 has 16 divisors (see below), whose sum is σ = 232113600. Its totient is φ = 179403840.

The previous prime is 205034989. The next prime is 205035037. The reversal of 205035017 is 710530502.

It is not a de Polignac number, because 205035017 - 2⁸ = 205034761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205034983 and 205035001.

It is not an unprimeable number, because it can be changed into a prime (205035037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125834 + ... + 127452.

It is an arithmetic number, because the mean of its divisors is an integer number (14507100).

Almost surely, 2^205035017 is an apocalyptic number.

It is an amenable number.

205035017 is a deficient number, since it is larger than the sum of its proper divisors (27078583).

205035017 is a wasteful number, since it uses less digits than its factorization.

205035017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056.

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 205035017 is about 14319.0438577441. The cubic root of 205035017 is about 589.6704249535.

Adding to 205035017 its reverse (710530502), we get a palindrome (915565519).

The spelling of 205035017 in words is "two hundred five million, thirty-five thousand, seventeen".