243312 has 40 divisors (see below), whose sum is σ = 650256. Its totient is φ = 78336.

The previous prime is 243311. The next prime is 243343. The reversal of 243312 is 213342.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 243291 and 243300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1708 + ... + 1844.

2²⁴³³¹² 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 243312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325128).

243312 is an abundant number, since it is smaller than the sum of its proper divisors (406944).

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

243312 is a wasteful number, since it uses less digits than its factorization.

243312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 243312 is about 493.2666621616. The cubic root of 243312 is about 62.4292105185.

Adding to 243312 its reverse (213342), we get a palindrome (456654).

It can be divided in two parts, 243 and 312, that added together give a palindrome (555).

The spelling of 243312 in words is "two hundred forty-three thousand, three hundred twelve", and thus it is an iban number.