331800 has 96 divisors (see below), whose sum is σ = 1190400. Its totient is φ = 74880.

The previous prime is 331781. The next prime is 331801. The reversal of 331800 is 8133.

It is a super-2 number, since 2×331800² = 220182480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 331800.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331800.

It is not an unprimeable number, because it can be changed into a prime (331801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4161 + ... + 4239.

It is an arithmetic number, because the mean of its divisors is an integer number (12400).

2³³¹⁸⁰⁰ is an apocalyptic number.

331800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595200).

331800 is an abundant number, since it is smaller than the sum of its proper divisors (858600).

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

331800 is a wasteful number, since it uses less digits than its factorization.

331800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 331800 is about 576.0208329566. The cubic root of 331800 is about 69.2296486048.

Adding to 331800 its reverse (8133), we get a palindrome (339933).

The spelling of 331800 in words is "three hundred thirty-one thousand, eight hundred".