243552 has 48 divisors (see below), whose sum is σ = 665280. Its totient is φ = 77952.

The previous prime is 243539. The next prime is 243553. The reversal of 243552 is 255342.

It is a tau number, because it is divible by the number of its divisors (48).

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 243552.

It is not an unprimeable number, because it can be changed into a prime (243553) 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, 4099 + ... + 4157.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2²⁴³⁵⁵² 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 243552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640).

243552 is an abundant number, since it is smaller than the sum of its proper divisors (421728).

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

243552 is a wasteful number, since it uses less digits than its factorization.

243552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its digits is 1200, while the sum is 21.

The square root of 243552 is about 493.5098783206. The cubic root of 243552 is about 62.4497302447.

Adding to 243552 its reverse (255342), we get a palindrome (498894).

The spelling of 243552 in words is "two hundred forty-three thousand, five hundred fifty-two".