331392 has 32 divisors (see below), whose sum is σ = 881280. Its totient is φ = 110336.

The previous prime is 331391. The next prime is 331399. The reversal of 331392 is 293133.

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331392.

It is not an unprimeable number, because it can be changed into a prime (331391) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (27540).

2³³¹³⁹² is an apocalyptic number.

331392 is a gapful number since it is divisible by the number (32) 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 331392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640).

331392 is an abundant number, since it is smaller than the sum of its proper divisors (549888).

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

331392 is an equidigital number, since it uses as much as digits as its factorization.

331392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its digits is 486, while the sum is 21.

The square root of 331392 is about 575.6665701602. Note that the first 3 decimals coincide. The cubic root of 331392 is about 69.2012607386.

The spelling of 331392 in words is "three hundred thirty-one thousand, three hundred ninety-two".