205017 has 8 divisors (see below), whose sum is σ = 280896. Its totient is φ = 132912.

The previous prime is 204983. The next prime is 205019. The reversal of 205017 is 710502.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 205017 - 2¹⁴ = 188633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204987 and 205005.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205017.

It is not an unprimeable number, because it can be changed into a prime (205019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 813 + ... + 1034.

It is an arithmetic number, because the mean of its divisors is an integer number (35112).

2²⁰⁵⁰¹⁷ is an apocalyptic number.

It is an amenable number.

205017 is a deficient number, since it is larger than the sum of its proper divisors (75879).

205017 is a wasteful number, since it uses less digits than its factorization.

205017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 205017 is about 452.7880298771. The cubic root of 205017 is about 58.9653152451.

Adding to 205017 its reverse (710502), we get a palindrome (915519).

The spelling of 205017 in words is "two hundred five thousand, seventeen".