42579 has 16 divisors (see below), whose sum is σ = 67200. Its totient is φ = 26568.

The previous prime is 42577. The next prime is 42589. The reversal of 42579 is 97524.

42579 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42579 - 2¹ = 42577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2520) is a multiple of the sum of its prime divisors (105).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2⁴²⁵⁷⁹ is an apocalyptic number.

42579 is a deficient number, since it is larger than the sum of its proper divisors (24621).

42579 is a wasteful number, since it uses less digits than its factorization.

42579 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 42579 is about 206.3467954682. The cubic root of 42579 is about 34.9192697147.

Subtracting 42579 from its reverse (97524), we obtain a palindrome (54945).

The spelling of 42579 in words is "forty-two thousand, five hundred seventy-nine".