40166 has 16 divisors (see below), whose sum is σ = 72960. Its totient is φ = 16200.

The previous prime is 40163. The next prime is 40169. The reversal of 40166 is 66104.

It is an interprime number because it is at equal distance from previous prime (40163) and next prime (40169).

It is a super-3 number, since 3×40166³ = 194400333882888, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40163) 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, 191 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (4560).

2⁴⁰¹⁶⁶ is an apocalyptic number.

40166 is a deficient number, since it is larger than the sum of its proper divisors (32794).

40166 is a wasteful number, since it uses less digits than its factorization.

40166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 40166 is about 200.4145703286. The cubic root of 40166 is about 34.2467629739.

The spelling of 40166 in words is "forty thousand, one hundred sixty-six".