233984 has 20 divisors (see below), whose sum is σ = 468534. Its totient is φ = 116736.

The previous prime is 233983. The next prime is 233993. The reversal of 233984 is 489332.

It can be written as a sum of positive squares in only one way, i.e., 160000 + 73984 = 400^2 + 272^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (233983) by changing a digit.

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 as a sum of consecutive naturals, namely, 284 + ... + 740.

2²³³⁹⁸⁴ 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 233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234267).

233984 is an abundant number, since it is smaller than the sum of its proper divisors (234550).

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

233984 is an frugal number, since it uses more digits than its factorization.

233984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 459 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 233984 is about 483.7189266506. The cubic root of 233984 is about 61.6209969463.

The spelling of 233984 in words is "two hundred thirty-three thousand, nine hundred eighty-four".