233284 has 6 divisors (see below), whose sum is σ = 408254. Its totient is φ = 116640.

The previous prime is 233279. The next prime is 233293. The reversal of 233284 is 482332.

233284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 103684 = 360^2 + 322^2 .

It is a d-powerful number, because it can be written as 2¹³ + 3⁷ + 2¹⁷ + 3¹⁰ + 8⁵ + 4² .

It is an unprimeable number.

233284 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, 29157 + ... + 29164.

233284 is a Friedman number, since it can be written as 483^2-3-2, using all its digits and the basic arithmetic operations.

2²³³²⁸⁴ is an apocalyptic number.

It is an amenable number.

233284 is a deficient number, since it is larger than the sum of its proper divisors (174970).

233284 is a wasteful number, since it uses less digits than its factorization.

233284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58325 (or 58323 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 233284 is about 482.9948239888. The cubic root of 233284 is about 61.5594859253.

It can be divided in two parts, 23328 and 4, that added together give a palindrome (23332).

The spelling of 233284 in words is "two hundred thirty-three thousand, two hundred eighty-four".