42584 has 8 divisors (see below), whose sum is σ = 79860. Its totient is φ = 21288.

The previous prime is 42577. The next prime is 42589. The reversal of 42584 is 48524.

It is a tau number, because it is divible by the number of its divisors (8).

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 42584.

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

42584 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 2654 + ... + 2669.

2⁴²⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

42584 is a deficient number, since it is larger than the sum of its proper divisors (37276).

42584 is a wasteful number, since it uses less digits than its factorization.

42584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5329 (or 5325 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 42584 is about 206.3589106387. The cubic root of 42584 is about 34.9206365036.

It can be divided in two parts, 42 and 584, that added together give a palindrome (626).

The spelling of 42584 in words is "forty-two thousand, five hundred eighty-four".