205716 has 48 divisors (see below), whose sum is σ = 573440. Its totient is φ = 56160.

The previous prime is 205703. The next prime is 205721. The reversal of 205716 is 617502.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 205692 and 205701.

It is a congruent number.

It is an unprimeable number.

205716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2565 + ... + 2643.

2²⁰⁵⁷¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286720).

205716 is an abundant number, since it is smaller than the sum of its proper divisors (367724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205716 is a wasteful number, since it uses less digits than its factorization.

205716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 205716 is about 453.5592574295. The cubic root of 205716 is about 59.0322527859.

The spelling of 205716 in words is "two hundred five thousand, seven hundred sixteen".