166166 has 32 divisors (see below), whose sum is σ = 338688. Its totient is φ = 59040.

The previous prime is 166157. The next prime is 166169. The reversal of 166166 is 661661.

166166 = 29² + 30² + ... + 80².

It is a super-2 number, since 2×166166² = 55222279112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 166166.

It is not an unprimeable number, because it can be changed into a prime (166169) by changing a digit.

166166 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 1961 + ... + 2043.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2¹⁶⁶¹⁶⁶ is an apocalyptic number.

166166 is an abundant number, since it is smaller than the sum of its proper divisors (172522).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166166 is a wasteful number, since it uses less digits than its factorization.

166166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116.

The product of its digits is 1296, while the sum is 26.

The square root of 166166 is about 407.6346403337. The cubic root of 166166 is about 54.9769600467.

The spelling of 166166 in words is "one hundred sixty-six thousand, one hundred sixty-six".