331848 has 48 divisors (see below), whose sum is σ = 982800. Its totient is φ = 100320.

The previous prime is 331843. The next prime is 331871. The reversal of 331848 is 848133.

It is a super-2 number, since 2×331848² = 220246190208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (331841) by changing a digit.

331848 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, 583 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2³³¹⁸⁴⁸ 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 331848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491400).

331848 is an abundant number, since it is smaller than the sum of its proper divisors (650952).

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

331848 is a wasteful number, since it uses less digits than its factorization.

331848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 435 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 331848 is about 576.0624966095. The cubic root of 331848 is about 69.2329868236.

It can be divided in two parts, 33 and 1848, that added together give a palindrome (1881).

The spelling of 331848 in words is "three hundred thirty-one thousand, eight hundred forty-eight".