331992 has 64 divisors (see below), whose sum is σ = 972000. Its totient is φ = 104832.

The previous prime is 331973. The next prime is 331997. The reversal of 331992 is 299133.

331992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×331992² = 220437376128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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 331992.

It is not an unprimeable number, because it can be changed into a prime (331997) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6238 + ... + 6290.

2³³¹⁹⁹² 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 331992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486000).

331992 is an abundant number, since it is smaller than the sum of its proper divisors (640008).

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

331992 is a wasteful number, since it uses less digits than its factorization.

331992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 331992 is about 576.1874694924. The cubic root of 331992 is about 69.2429995487.

It can be divided in two parts, 33 and 1992, that added together give a square (2025 = 45²).

The spelling of 331992 in words is "three hundred thirty-one thousand, nine hundred ninety-two".