331984 has 10 divisors (see below), whose sum is σ = 643250. Its totient is φ = 165984.

The previous prime is 331973. The next prime is 331997. The reversal of 331984 is 489133.

It can be written as a sum of positive squares in only one way, i.e., 193600 + 138384 = 440^2 + 372^2 .

It is a super-2 number, since 2×331984² = 220426752512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

331984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10359 + ... + 10390.

It is an arithmetic number, because the mean of its divisors is an integer number (64325).

2³³¹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

331984 is a deficient number, since it is larger than the sum of its proper divisors (311266).

331984 is a wasteful number, since it uses less digits than its factorization.

331984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20757 (or 20751 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 331984 is about 576.1805272655. The cubic root of 331984 is about 69.2424433621.

It can be divided in two parts, 3319 and 84, that added together give a triangular number (3403 = T₈₂).

The spelling of 331984 in words is "three hundred thirty-one thousand, nine hundred eighty-four".