242532 has 18 divisors (see below), whose sum is σ = 613158. Its totient is φ = 80832.

The previous prime is 242521. The next prime is 242533. The reversal of 242532 is 235242.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 34596 = 456^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242532.

It is not an unprimeable number, because it can be changed into a prime (242533) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3333 + ... + 3404.

2²⁴²⁵³² is an apocalyptic number.

It is an amenable number.

242532 is an abundant number, since it is smaller than the sum of its proper divisors (370626).

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

242532 is a wasteful number, since it uses less digits than its factorization.

242532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6747 (or 6742 counting only the distinct ones).

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

The square root of 242532 is about 492.4753800953. The cubic root of 242532 is about 62.3624280723.

Adding to 242532 its reverse (235242), we get a palindrome (477774).

It can be divided in two parts, 24 and 2532, that added together give a triangular number (2556 = T₇₁).

The spelling of 242532 in words is "two hundred forty-two thousand, five hundred thirty-two".