205957 has 2 divisors, whose sum is σ = 205958. Its totient is φ = 205956.

The previous prime is 205951. The next prime is 205963. The reversal of 205957 is 759502.

It is a balanced prime because it is at equal distance from previous prime (205951) and next prime (205963).

It can be written as a sum of positive squares in only one way, i.e., 201601 + 4356 = 449^2 + 66^2 .

It is a cyclic number.

It is not a de Polignac number, because 205957 - 2³ = 205949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102978 + 102979.

It is an arithmetic number, because the mean of its divisors is an integer number (102979).

2²⁰⁵⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

205957 is a deficient number, since it is larger than the sum of its proper divisors (1).

205957 is an equidigital number, since it uses as much as digits as its factorization.

205957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 205957 is about 453.8248560844. The cubic root of 205957 is about 59.0552962389.

It can be divided in two parts, 20595 and 7, that added together give a palindrome (20602).

The spelling of 205957 in words is "two hundred five thousand, nine hundred fifty-seven".