331506 has 32 divisors (see below), whose sum is σ = 842880. Its totient is φ = 94608.

The previous prime is 331501. The next prime is 331511. The reversal of 331506 is 605133.

331506 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (331501) and next prime (331511).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331506.

It is not an unprimeable number, because it can be changed into a prime (331501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61 + ... + 816.

It is an arithmetic number, because the mean of its divisors is an integer number (26340).

2³³¹⁵⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421440).

331506 is an abundant number, since it is smaller than the sum of its proper divisors (511374).

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

331506 is a wasteful number, since it uses less digits than its factorization.

331506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 331506 is about 575.7655772969. The cubic root of 331506 is about 69.2091949870.

Adding to 331506 its product of nonzero digits (270), we get a 4-th power (331776 = 24⁴).

Adding to 331506 its reverse (605133), we get a palindrome (936639).

The spelling of 331506 in words is "three hundred thirty-one thousand, five hundred six".