331002 has 48 divisors (see below), whose sum is σ = 853632. Its totient is φ = 90720.

The previous prime is 330997. The next prime is 331013. The reversal of 331002 is 200133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4627 + ... + 4697.

It is an arithmetic number, because the mean of its divisors is an integer number (17784).

2³³¹⁰⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426816).

331002 is an abundant number, since it is smaller than the sum of its proper divisors (522630).

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

331002 is a wasteful number, since it uses less digits than its factorization.

331002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 331002 is about 575.3277326881. The cubic root of 331002 is about 69.1741034890.

Adding to 331002 its reverse (200133), we get a palindrome (531135).

It can be divided in two parts, 33 and 1002, that added together give a triangular number (1035 = T₄₅).

The spelling of 331002 in words is "three hundred thirty-one thousand, two".