42885 has 12 divisors (see below), whose sum is σ = 74412. Its totient is φ = 22848.

The previous prime is 42863. The next prime is 42899. The reversal of 42885 is 58824.

42885 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 2 ways, for example, as 16641 + 26244 = 129^2 + 162^2 .

It is not a de Polignac number, because 42885 - 2⁵ = 42853 is a prime.

42885 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

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 42885.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (6201).

2⁴²⁸⁸⁵ is an apocalyptic number.

42885 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42885 is a deficient number, since it is larger than the sum of its proper divisors (31527).

42885 is a wasteful number, since it uses less digits than its factorization.

42885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 961 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 42885 is about 207.0869382651. The cubic root of 42885 is about 35.0027208769.

The spelling of 42885 in words is "forty-two thousand, eight hundred eighty-five".