166032 has 30 divisors (see below), whose sum is σ = 465062. Its totient is φ = 55296.

The previous prime is 166031. The next prime is 166043. The reversal of 166032 is 230661.

It is a happy number.

166032 is a `hidden beast` number, since 1 + 660 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156816 + 9216 = 396^2 + 96^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 165996 and 166014.

It is not an unprimeable number, because it can be changed into a prime (166031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 433 + ... + 720.

2¹⁶⁶⁰³² is an apocalyptic number.

166032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166032 is an abundant number, since it is smaller than the sum of its proper divisors (299030).

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

166032 is a wasteful number, since it uses less digits than its factorization.

166032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 166032 is about 407.4702443124. The cubic root of 166032 is about 54.9621778534.

Adding to 166032 its reverse (230661), we get a palindrome (396693).

The spelling of 166032 in words is "one hundred sixty-six thousand, thirty-two".