331008 has 36 divisors (see below), whose sum is σ = 883008. Its totient is φ = 110080.

The previous prime is 330997. The next prime is 331013. The reversal of 331008 is 800133.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 553 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (24528).

2³³¹⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441504).

331008 is an abundant number, since it is smaller than the sum of its proper divisors (552000).

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

331008 is an equidigital number, since it uses as much as digits as its factorization.

331008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 331008 is about 575.3329470837. The cubic root of 331008 is about 69.1745214544.

The spelling of 331008 in words is "three hundred thirty-one thousand, eight".