242305 has 24 divisors (see below), whose sum is σ = 361152. Its totient is φ = 155232.

The previous prime is 242279. The next prime is 242309. The reversal of 242305 is 503242.

It is not a de Polignac number, because 242305 - 2⁵ = 242273 is a prime.

It is an Ulam number.

It is a Duffinian number.

242305 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (242309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5614 + ... + 5656.

It is an arithmetic number, because the mean of its divisors is an integer number (15048).

2²⁴²³⁰⁵ is an apocalyptic number.

It is an amenable number.

242305 is a deficient number, since it is larger than the sum of its proper divisors (118847).

242305 is a wasteful number, since it uses less digits than its factorization.

242305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 242305 is about 492.2448577690. The cubic root of 242305 is about 62.3429657745.

Adding to 242305 its reverse (503242), we get a palindrome (745547).

The spelling of 242305 in words is "two hundred forty-two thousand, three hundred five".