243288 has 48 divisors (see below), whose sum is σ = 686400. Its totient is φ = 77760.

The previous prime is 243263. The next prime is 243301. The reversal of 243288 is 882342.

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 243288.

It is an unprimeable number.

243288 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 in 11 ways as a sum of consecutive naturals, for example, 2178 + ... + 2286.

It is an arithmetic number, because the mean of its divisors is an integer number (14300).

2²⁴³²⁸⁸ 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 243288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343200).

243288 is an abundant number, since it is smaller than the sum of its proper divisors (443112).

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

243288 is a wasteful number, since it uses less digits than its factorization.

243288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 145 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 243288 is about 493.2423339496. The cubic root of 243288 is about 62.4271578039.

It can be divided in two parts, 24328 and 8, that added together give a square (24336 = 156²).

The spelling of 243288 in words is "two hundred forty-three thousand, two hundred eighty-eight".