206116 has 9 divisors (see below), whose sum is σ = 362299. Its totient is φ = 102604.

The previous prime is 206083. The next prime is 206123. The reversal of 206116 is 611602.

206116 = T₄₅₃ + T₄₅₄.

The square root of 206116 is 454.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 206116.

It is an unprimeable 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 2 ways as a sum of consecutive naturals, for example, 795 + ... + 1021.

2²⁰⁶¹¹⁶ is an apocalyptic number.

206116 is the 454-th square number.

It is an amenable number.

206116 is a deficient number, since it is larger than the sum of its proper divisors (156183).

206116 is an equidigital number, since it uses as much as digits as its factorization.

206116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The cubic root of 206116 is about 59.0704893404.

Multiplying 206116 by its sum of digits (16), we get a square (3297856 = 1816²).

Adding to 206116 its reverse (611602), we get a palindrome (817718).

The spelling of 206116 in words is "two hundred six thousand, one hundred sixteen".