205937 has 2 divisors, whose sum is σ = 205938. Its totient is φ = 205936.

The previous prime is 205913. The next prime is 205949. The reversal of 205937 is 739502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132496 + 73441 = 364^2 + 271^2 .

It is a cyclic number.

It is not a de Polignac number, because 205937 - 2¹⁰ = 204913 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205937.

It is not a weakly prime, because it can be changed into another prime (205957) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102968 + 102969.

It is an arithmetic number, because the mean of its divisors is an integer number (102969).

2²⁰⁵⁹³⁷ is an apocalyptic number.

It is an amenable number.

205937 is a deficient number, since it is larger than the sum of its proper divisors (1).

205937 is an equidigital number, since it uses as much as digits as its factorization.

205937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 205937 is about 453.8028206171. The cubic root of 205937 is about 59.0533846033.

The spelling of 205937 in words is "two hundred five thousand, nine hundred thirty-seven".