205903 has 4 divisors (see below), whose sum is σ = 216760. Its totient is φ = 195048.

The previous prime is 205883. The next prime is 205913. The reversal of 205903 is 309502.

205903 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 205903 - 2⁹ = 205391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19), and also a Moran number because the ratio is a prime number: 10837 = 205903 / (2 + 0 + 5 + 9 + 0 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5400 + ... + 5437.

It is an arithmetic number, because the mean of its divisors is an integer number (54190).

2²⁰⁵⁹⁰³ is an apocalyptic number.

205903 is a deficient number, since it is larger than the sum of its proper divisors (10857).

205903 is a wasteful number, since it uses less digits than its factorization.

205903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10856.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 205903 is about 453.7653578668. The cubic root of 205903 is about 59.0501345389.

The spelling of 205903 in words is "two hundred five thousand, nine hundred three".