205803 has 12 divisors (see below), whose sum is σ = 320320. Its totient is φ = 126576.

The previous prime is 205783. The next prime is 205817. The reversal of 205803 is 308502.

It is not a de Polignac number, because 205803 - 2¹⁷ = 74731 is a prime.

205803 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (205823) 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 11 ways as a sum of consecutive naturals, for example, 763 + ... + 996.

2²⁰⁵⁸⁰³ is an apocalyptic number.

205803 is a deficient number, since it is larger than the sum of its proper divisors (114517).

205803 is a wasteful number, since it uses less digits than its factorization.

205803 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 205803 is about 453.6551553769. The cubic root of 205803 is about 59.0405734516.

The spelling of 205803 in words is "two hundred five thousand, eight hundred three".