231984 has 50 divisors (see below), whose sum is σ = 675180. Its totient is φ = 76896.

The previous prime is 231967. The next prime is 232003. The reversal of 231984 is 489132.

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 an Ulam number.

It is one of the 548 Lynch-Bell numbers.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 231984.

It is an unprimeable number.

231984 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 9 ways as a sum of consecutive naturals, for example, 1207 + ... + 1385.

2²³¹⁹⁸⁴ is an apocalyptic number.

231984 is a gapful number since it is divisible by the number (24) 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 231984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337590).

231984 is an abundant number, since it is smaller than the sum of its proper divisors (443196).

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

231984 is a wasteful number, since it uses less digits than its factorization.

231984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 231984 is about 481.6471737693. The cubic root of 231984 is about 61.4449239218. Note that the first 3 decimals are identical.

The spelling of 231984 in words is "two hundred thirty-one thousand, nine hundred eighty-four".