243252 has 36 divisors (see below), whose sum is σ = 638820. Its totient is φ = 77952.

The previous prime is 243239. The next prime is 243259. The reversal of 243252 is 252342.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 156816 = 294^2 + 396^2 .

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 d-powerful number, because it can be written as 2⁴ + 4² + 2⁹ + 3¹¹ + 5² + 2¹⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243259) 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, 928 + ... + 1160.

It is an arithmetic number, because the mean of its divisors is an integer number (17745).

2²⁴³²⁵² 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 243252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319410).

243252 is an abundant number, since it is smaller than the sum of its proper divisors (395568).

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

243252 is a wasteful number, since it uses less digits than its factorization.

243252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 267 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 243252 is about 493.2058393815. The cubic root of 243252 is about 62.4240784788.

Adding to 243252 its reverse (252342), we get a palindrome (495594).

The spelling of 243252 in words is "two hundred forty-three thousand, two hundred fifty-two".