204997 has 6 divisors (see below), whose sum is σ = 222162. Its totient is φ = 189072.

The previous prime is 204983. The next prime is 205019. The reversal of 204997 is 799402.

It can be written as a sum of positive squares in 3 ways, for example, as 16641 + 188356 = 129^2 + 434^2 .

It is not a de Polignac number, because 204997 - 2¹¹ = 202949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 438 + ... + 775.

It is an arithmetic number, because the mean of its divisors is an integer number (37027).

2²⁰⁴⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

204997 is a deficient number, since it is larger than the sum of its proper divisors (17165).

204997 is a wasteful number, since it uses less digits than its factorization.

204997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 204997 is about 452.7659439490. The cubic root of 204997 is about 58.9633977706.

The spelling of 204997 in words is "two hundred four thousand, nine hundred ninety-seven".