166705 has 16 divisors (see below), whose sum is σ = 249984. Its totient is φ = 103680.

The previous prime is 166703. The next prime is 166723. The reversal of 166705 is 507661.

It is not a de Polignac number, because 166705 - 2¹ = 166703 is a prime.

166705 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 166705.

It is not an unprimeable number, because it can be changed into a prime (166703) 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, 169 + ... + 601.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2¹⁶⁶⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

166705 is a deficient number, since it is larger than the sum of its proper divisors (83279).

166705 is a wasteful number, since it uses less digits than its factorization.

166705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 166705 is about 408.2952363180. The cubic root of 166705 is about 55.0363396207.

The spelling of 166705 in words is "one hundred sixty-six thousand, seven hundred five".