331200 has 126 divisors (see below), whose sum is σ = 1228344. Its totient is φ = 84480.

The previous prime is 331183. The next prime is 331207. The reversal of 331200 is 2133.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331207) by changing a digit.

331200 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 (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14389 + ... + 14411.

2³³¹²⁰⁰ is an apocalyptic number.

331200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 575×576.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614172).

331200 is an abundant number, since it is smaller than the sum of its proper divisors (897144).

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

331200 is a wasteful number, since it uses less digits than its factorization.

331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 33 counting only the distinct ones).

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

The square root of 331200 is about 575.4997827975. The cubic root of 331200 is about 69.1878936800.

Adding to 331200 its reverse (2133), we get a palindrome (333333).

The spelling of 331200 in words is "three hundred thirty-one thousand, two hundred".