205936 has 20 divisors (see below), whose sum is σ = 407464. Its totient is φ = 100800.

The previous prime is 205913. The next prime is 205937. The reversal of 205936 is 639502.

205936 is nontrivially palindromic in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 205936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205937) by changing a digit.

205936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 3 ways as a sum of consecutive naturals, for example, 871 + ... + 1081.

2²⁰⁵⁹³⁶ is an apocalyptic number.

It is an amenable number.

205936 is a deficient number, since it is larger than the sum of its proper divisors (201528).

205936 is a wasteful number, since it uses less digits than its factorization.

205936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 205936 is about 453.8017188156. The cubic root of 205936 is about 59.0532890183.

The spelling of 205936 in words is "two hundred five thousand, nine hundred thirty-six".