331003002 has 48 divisors (see below), whose sum is σ = 734632416. Its totient is φ = 99343200.

The previous prime is 331002989. The next prime is 331003007. The reversal of 331003002 is 200300133.

It is a happy number.

331003002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (331003007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75552 + ... + 79812.

It is an arithmetic number, because the mean of its divisors is an integer number (15304842).

Almost surely, 2^331003002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331003002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367316208).

331003002 is an abundant number, since it is smaller than the sum of its proper divisors (403629414).

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

331003002 is a wasteful number, since it uses less digits than its factorization.

331003002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 331003002 is about 18193.4879008946. The cubic root of 331003002 is about 691.7417328957.

Adding to 331003002 its reverse (200300133), we get a palindrome (531303135).

The spelling of 331003002 in words is "three hundred thirty-one million, three thousand, two".