243612 has 36 divisors (see below), whose sum is σ = 631176. Its totient is φ = 79200.

The previous prime is 243589. The next prime is 243613. The reversal of 243612 is 216342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 243612.

It is not an unprimeable number, because it can be changed into a prime (243613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2362 + ... + 2462.

2²⁴³⁶¹² 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 243612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315588).

243612 is an abundant number, since it is smaller than the sum of its proper divisors (387564).

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

243612 is a wasteful number, since it uses less digits than its factorization.

243612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 173 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 243612 is about 493.5706636339. The cubic root of 243612 is about 62.4548580698.

Adding to 243612 its reverse (216342), we get a palindrome (459954).

The spelling of 243612 in words is "two hundred forty-three thousand, six hundred twelve".