166212 has 48 divisors (see below), whose sum is σ = 459200. Its totient is φ = 52488.

The previous prime is 166207. The next prime is 166219. The reversal of 166212 is 212661.

It is a happy number.

166212 is a `hidden beast` number, since 1 + 662 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

Its product of digits (144) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (166219) by changing a digit.

166212 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 15 ways as a sum of consecutive naturals, for example, 8739 + ... + 8757.

2¹⁶⁶²¹² is an apocalyptic number.

166212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229600).

166212 is an abundant number, since it is smaller than the sum of its proper divisors (292988).

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

166212 is an equidigital number, since it uses as much as digits as its factorization.

166212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 24 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 166212 is about 407.6910595046. The cubic root of 166212 is about 54.9820326986.

Adding to 166212 its reverse (212661), we get a palindrome (378873).

It can be divided in two parts, 166 and 212, that added together give a triangular number (378 = T₂₇).

The spelling of 166212 in words is "one hundred sixty-six thousand, two hundred twelve".