205916 has 6 divisors (see below), whose sum is σ = 360360. Its totient is φ = 102956.

The previous prime is 205913. The next prime is 205937. The reversal of 205916 is 619502.

It is a junction number, because it is equal to n+sod(n) for n = 205891 and 205900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25736 + ... + 25743.

It is an arithmetic number, because the mean of its divisors is an integer number (60060).

2²⁰⁵⁹¹⁶ is an apocalyptic number.

It is an amenable number.

205916 is a deficient number, since it is larger than the sum of its proper divisors (154444).

205916 is a wasteful number, since it uses less digits than its factorization.

205916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51483 (or 51481 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 205916 is about 453.7796822248. The cubic root of 205916 is about 59.0513772528.

The spelling of 205916 in words is "two hundred five thousand, nine hundred sixteen".