242585 has 16 divisors (see below), whose sum is σ = 345600. Its totient is φ = 159936.

The previous prime is 242551. The next prime is 242591. The reversal of 242585 is 585242.

242585 = T₃₀₉ + T₃₁₀ + ... + T₃₁₃.

It is not a de Polignac number, because 242585 - 2⁶ = 242521 is a prime.

It is a Curzon number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242585.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896 + ... + 1134.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2²⁴²⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

242585 is a deficient number, since it is larger than the sum of its proper divisors (103015).

242585 is a wasteful number, since it uses less digits than its factorization.

242585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280.

The product of its digits is 3200, while the sum is 26.

The square root of 242585 is about 492.5291869524. The cubic root of 242585 is about 62.3669703842.

The spelling of 242585 in words is "two hundred forty-two thousand, five hundred eighty-five".