166332 has 24 divisors (see below), whose sum is σ = 395136. Its totient is φ = 54448.

The previous prime is 166319. The next prime is 166349. The reversal of 166332 is 233661.

166332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 14 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 166299 and 166308.

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 166332.

It is an unprimeable number.

166332 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, 913 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (16464).

2¹⁶⁶³³² is an apocalyptic number.

166332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166332 is an abundant number, since it is smaller than the sum of its proper divisors (228804).

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

166332 is a wasteful number, since it uses less digits than its factorization.

166332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 166332 is about 407.8382032130. The cubic root of 166332 is about 54.9952612997.

Adding to 166332 its reverse (233661), we get a palindrome (399993).

The spelling of 166332 in words is "one hundred sixty-six thousand, three hundred thirty-two".