238385 has 16 divisors (see below), whose sum is σ = 336000. Its totient is φ = 162288.

The previous prime is 238373. The next prime is 238397. The reversal of 238385 is 583832.

238385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238373) and next prime (238397).

It is not a de Polignac number, because 238385 - 2⁴ = 238369 is a prime.

It is a d-powerful number, because it can be written as 2¹¹ + 3¹⁰ + 3¹¹ + 8 + 8 + 5³ .

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1646 + ... + 1784.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2²³⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

238385 is a deficient number, since it is larger than the sum of its proper divisors (97615).

238385 is an equidigital number, since it uses as much as digits as its factorization.

238385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 238385 is about 488.2468637892. The cubic root of 238385 is about 62.0049423740.

The spelling of 238385 in words is "two hundred thirty-eight thousand, three hundred eighty-five".