42385 has 12 divisors (see below), whose sum is σ = 59508. Its totient is φ = 28896.

The previous prime is 42379. The next prime is 42391. The reversal of 42385 is 58324.

It is an interprime number because it is at equal distance from previous prime (42379) and next prime (42391).

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 14161 = 168^2 + 119^2 .

It is not a de Polignac number, because 42385 - 2⁷ = 42257 is a prime.

It is a Duffinian number.

Its product of digits (960) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159 + ... + 331.

It is an arithmetic number, because the mean of its divisors is an integer number (4959).

2⁴²³⁸⁵ is an apocalyptic number.

It is an amenable number.

42385 is a deficient number, since it is larger than the sum of its proper divisors (17123).

42385 is a wasteful number, since it uses less digits than its factorization.

42385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 42385 is about 205.8761763779. The cubic root of 42385 is about 34.8661554804.

The spelling of 42385 in words is "forty-two thousand, three hundred eighty-five".