332766 has 48 divisors (see below), whose sum is σ = 873600. Its totient is φ = 89424.

The previous prime is 332749. The next prime is 332767. The reversal of 332766 is 667233.

332766 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×332766² = 221466421512, which contains 22 as substring.

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

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 332766.

It is not an unprimeable number, because it can be changed into a prime (332767) by changing a digit.

332766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2325 + ... + 2463.

It is an arithmetic number, because the mean of its divisors is an integer number (18200).

2³³²⁷⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436800).

332766 is an abundant number, since it is smaller than the sum of its proper divisors (540834).

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

332766 is a wasteful number, since it uses less digits than its factorization.

332766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 170 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 332766 is about 576.8587348736. The cubic root of 332766 is about 69.2967684006.

Adding to 332766 its reverse (667233), we get a palindrome (999999).

The spelling of 332766 in words is "three hundred thirty-two thousand, seven hundred sixty-six".