205913 has 2 divisors, whose sum is σ = 205914. Its totient is φ = 205912.

The previous prime is 205883. The next prime is 205937. The reversal of 205913 is 319502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170569 + 35344 = 413^2 + 188^2 .

It is a cyclic number.

It is not a de Polignac number, because 205913 - 2⁸ = 205657 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102956 + 102957.

It is an arithmetic number, because the mean of its divisors is an integer number (102957).

2²⁰⁵⁹¹³ is an apocalyptic number.

It is an amenable number.

205913 is a deficient number, since it is larger than the sum of its proper divisors (1).

205913 is an equidigital number, since it uses as much as digits as its factorization.

205913 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 205913 is about 453.7763766438. The cubic root of 205913 is about 59.0510904773.

The spelling of 205913 in words is "two hundred five thousand, nine hundred thirteen".