331144 has 32 divisors (see below), whose sum is σ = 699840. Its totient is φ = 145600.

The previous prime is 331141. The next prime is 331147. The reversal of 331144 is 441133.

It is an interprime number because it is at equal distance from previous prime (331141) and next prime (331147).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4629 + ... + 4699.

It is an arithmetic number, because the mean of its divisors is an integer number (21870).

2³³¹¹⁴⁴ 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 331144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349920).

331144 is an abundant number, since it is smaller than the sum of its proper divisors (368696).

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

331144 is a wasteful number, since it uses less digits than its factorization.

331144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 331144 is about 575.4511273775. The cubic root of 331144 is about 69.1839939815.

Adding to 331144 its reverse (441133), we get a palindrome (772277).

The spelling of 331144 in words is "three hundred thirty-one thousand, one hundred forty-four".