16205 has 8 divisors (see below), whose sum is σ = 22272. Its totient is φ = 11088.

The previous prime is 16193. The next prime is 16217. The reversal of 16205 is 50261.

16205 = T₄ + T₅ + ... + T₄₅.

16205 = 2² + 3² + ... + 36².

16205 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16193) and next prime (16217).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 16205 - 2⁴ = 16189 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197 + ... + 266.

It is an arithmetic number, because the mean of its divisors is an integer number (2784).

2¹⁶²⁰⁵ is an apocalyptic number.

It is an amenable number.

16205 is a deficient number, since it is larger than the sum of its proper divisors (6067).

16205 is an equidigital number, since it uses as much as digits as its factorization.

16205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 16205 is about 127.2988609533. The cubic root of 16205 is about 25.3055828785.

Adding to 16205 its reverse (50261), we get a palindrome (66466).

It can be divided in two parts, 1620 and 5, that multiplied together give a square (8100 = 90²).

The spelling of 16205 in words is "sixteen thousand, two hundred five".