205516 has 12 divisors (see below), whose sum is σ = 362880. Its totient is φ = 101840.

The previous prime is 205507. The next prime is 205519. The reversal of 205516 is 615502.

It is a happy number.

205516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 205493 and 205502.

It is not an unprimeable number, because it can be changed into a prime (205519) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 630 + ... + 898.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2²⁰⁵⁵¹⁶ is an apocalyptic number.

It is an amenable number.

205516 is a deficient number, since it is larger than the sum of its proper divisors (157364).

205516 is a wasteful number, since it uses less digits than its factorization.

205516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 205516 is about 453.3387254581. The cubic root of 205516 is about 59.0131159196.

The spelling of 205516 in words is "two hundred five thousand, five hundred sixteen".