242145 has 12 divisors (see below), whose sum is σ = 419796. Its totient is φ = 129120.

The previous prime is 242129. The next prime is 242147. The reversal of 242145 is 541242.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 159201 = 288^2 + 399^2 .

It is not a de Polignac number, because 242145 - 2⁴ = 242129 is a prime.

242145 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242145.

It is not an unprimeable number, because it can be changed into a prime (242147) 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, 2646 + ... + 2735.

It is an arithmetic number, because the mean of its divisors is an integer number (34983).

2²⁴²¹⁴⁵ is an apocalyptic number.

It is an amenable number.

242145 is a deficient number, since it is larger than the sum of its proper divisors (177651).

242145 is a wasteful number, since it uses less digits than its factorization.

242145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 5389 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 242145 is about 492.0823101880. The cubic root of 242145 is about 62.3292405509.

Adding to 242145 its reverse (541242), we get a palindrome (783387).

The spelling of 242145 in words is "two hundred forty-two thousand, one hundred forty-five".