204993 has 6 divisors (see below), whose sum is σ = 296114. Its totient is φ = 136656.

The previous prime is 204983. The next prime is 205019. The reversal of 204993 is 399402.

It can be written as a sum of positive squares in only one way, i.e., 199809 + 5184 = 447^2 + 72^2 .

It is not a de Polignac number, because 204993 - 2⁹ = 204481 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (204913) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11380 + ... + 11397.

2²⁰⁴⁹⁹³ is an apocalyptic number.

It is an amenable number.

204993 is a deficient number, since it is larger than the sum of its proper divisors (91121).

204993 is a wasteful number, since it uses less digits than its factorization.

204993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22783 (or 22780 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 204993 is about 452.7615266341. The cubic root of 204993 is about 58.9630142607.

It can be divided in two parts, 20499 and 3, that added together give a palindrome (20502).

The spelling of 204993 in words is "two hundred four thousand, nine hundred ninety-three".