331812 has 36 divisors (see below), whose sum is σ = 904540. Its totient is φ = 101952.

The previous prime is 331801. The next prime is 331819. The reversal of 331812 is 218133.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 285156 = 216^2 + 534^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×331812² = 220198406688, which contains 22 as substring.

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

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331812.

It is not an unprimeable number, because it can be changed into a prime (331819) by changing a digit.

331812 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 114 + ... + 822.

2³³¹⁸¹² 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 331812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452270).

331812 is an abundant number, since it is smaller than the sum of its proper divisors (572728).

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

331812 is a wasteful number, since it uses less digits than its factorization.

331812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 727 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 331812 is about 576.0312491523. The cubic root of 331812 is about 69.2304831897.

Adding to 331812 its reverse (218133), we get a palindrome (549945).

The spelling of 331812 in words is "three hundred thirty-one thousand, eight hundred twelve".