242385 has 32 divisors (see below), whose sum is σ = 459648. Its totient is φ = 107520.

The previous prime is 242377. The next prime is 242393. The reversal of 242385 is 583242.

It is an interprime number because it is at equal distance from previous prime (242377) and next prime (242393).

It is not a de Polignac number, because 242385 - 2³ = 242377 is a prime.

242385 is a lucky number.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2089 + ... + 2201.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2²⁴²³⁸⁵ is an apocalyptic number.

It is an amenable number.

242385 is a deficient number, since it is larger than the sum of its proper divisors (217263).

242385 is a wasteful number, since it uses less digits than its factorization.

242385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145.

The product of its digits is 1920, while the sum is 24.

The square root of 242385 is about 492.3261114343. The cubic root of 242385 is about 62.3498261206.

The spelling of 242385 in words is "two hundred forty-two thousand, three hundred eighty-five".