166205 has 8 divisors (see below), whose sum is σ = 214872. Its totient is φ = 122688.

The previous prime is 166189. The next prime is 166207. The reversal of 166205 is 502661.

166205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1369 + 164836 = 37^2 + 406^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 166205 - 2⁴ = 166189 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1214 + ... + 1343.

It is an arithmetic number, because the mean of its divisors is an integer number (26859).

2¹⁶⁶²⁰⁵ is an apocalyptic number.

It is an amenable number.

166205 is a deficient number, since it is larger than the sum of its proper divisors (48667).

166205 is a wasteful number, since it uses less digits than its factorization.

166205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 166205 is about 407.6824744823. The cubic root of 166205 is about 54.9812608337.

Adding to 166205 its reverse (502661), we get a palindrome (668866).

The spelling of 166205 in words is "one hundred sixty-six thousand, two hundred five".