166164 has 24 divisors (see below), whose sum is σ = 395808. Its totient is φ = 54240.

The previous prime is 166157. The next prime is 166169. The reversal of 166164 is 461661.

It is a super-2 number, since 2×166164² = 55220949792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is a congruent number.

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

166164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (16492).

2¹⁶⁶¹⁶⁴ is an apocalyptic number.

It is an amenable number.

166164 is an abundant number, since it is smaller than the sum of its proper divisors (229644).

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

166164 is a wasteful number, since it uses less digits than its factorization.

166164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 166164 is about 407.6321871492. The cubic root of 166164 is about 54.9767394754.

The spelling of 166164 in words is "one hundred sixty-six thousand, one hundred sixty-four".