166605 has 16 divisors (see below), whose sum is σ = 276480. Its totient is φ = 85568.

The previous prime is 166603. The next prime is 166609. The reversal of 166605 is 506661.

166605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 166605 - 2¹ = 166603 is a prime.

It is a plaindrome in base 13 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 166605.

It is not an unprimeable number, because it can be changed into a prime (166601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244 + ... + 626.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2¹⁶⁶⁶⁰⁵ is an apocalyptic number.

166605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166605 is a deficient number, since it is larger than the sum of its proper divisors (109875).

166605 is a wasteful number, since it uses less digits than its factorization.

166605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 166605 is about 408.1727575427. The cubic root of 166605 is about 55.0253326827.

The spelling of 166605 in words is "one hundred sixty-six thousand, six hundred five".