242582585 has 24 divisors (see below), whose sum is σ = 339311880. Its totient is φ = 166005504.

The previous prime is 242582563. The next prime is 242582597. The reversal of 242582585 is 585285242.

242582585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16711744 + 225870841 = 4088^2 + 15029^2 .

It is not a de Polignac number, because 242582585 - 2¹⁶ = 242517049 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214301 + ... + 215429.

It is an arithmetic number, because the mean of its divisors is an integer number (14137995).

Almost surely, 2^242582585 is an apocalyptic number.

It is an amenable number.

242582585 is a deficient number, since it is larger than the sum of its proper divisors (96729295).

242582585 is a wasteful number, since it uses less digits than its factorization.

242582585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2018 counting only the distinct ones).

The product of its digits is 256000, while the sum is 41.

The square root of 242582585 is about 15575.0629212212. The cubic root of 242582585 is about 623.6676342340.

The spelling of 242582585 in words is "two hundred forty-two million, five hundred eighty-two thousand, five hundred eighty-five".