42588 has 54 divisors (see below), whose sum is σ = 133224. Its totient is φ = 11232.

The previous prime is 42577. The next prime is 42589. The reversal of 42588 is 88524.

42588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 42588.

It is not an unprimeable number, because it can be changed into a prime (42589) by changing a digit.

42588 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3270 + ... + 3282.

2⁴²⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66612).

42588 is an abundant number, since it is smaller than the sum of its proper divisors (90636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42588 is a wasteful number, since it uses less digits than its factorization.

42588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 25 counting only the distinct ones).

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

The square root of 42588 is about 206.3686022630. The cubic root of 42588 is about 34.9217298577.

It can be divided in two parts, 42 and 588, that added together give a triangular number (630 = T₃₅).

The spelling of 42588 in words is "forty-two thousand, five hundred eighty-eight".