205703 has 2 divisors, whose sum is σ = 205704. Its totient is φ = 205702.

The previous prime is 205663. The next prime is 205721. The reversal of 205703 is 307502.

205703 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205703 - 2¹⁰ = 204679 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205703.

It is not a weakly prime, because it can be changed into another prime (205763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102851 + 102852.

It is an arithmetic number, because the mean of its divisors is an integer number (102852).

2²⁰⁵⁷⁰³ is an apocalyptic number.

205703 is a deficient number, since it is larger than the sum of its proper divisors (1).

205703 is an equidigital number, since it uses as much as digits as its factorization.

205703 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 205703 is about 453.5449261099. The cubic root of 205703 is about 59.0310092666.

The spelling of 205703 in words is "two hundred five thousand, seven hundred three".