42567 has 8 divisors (see below), whose sum is σ = 64896. Its totient is φ = 24312.

The previous prime is 42557. The next prime is 42569. The reversal of 42567 is 76524.

It is a happy number.

42567 is nontrivially palindromic in base 9.

42567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42567 - 2¹⁰ = 41543 is a prime.

It is a super-4 number, since 4×42567⁴ = 13132643802749444484, which contains 4444 as substring.

42567 is a modest number, since divided by 567 gives 42 as remainder.

42567 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 993 + ... + 1034.

It is an arithmetic number, because the mean of its divisors is an integer number (8112).

2⁴²⁵⁶⁷ is an apocalyptic number.

42567 is a deficient number, since it is larger than the sum of its proper divisors (22329).

42567 is a wasteful number, since it uses less digits than its factorization.

42567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037.

The product of its digits is 1680, while the sum is 24.

The square root of 42567 is about 206.3177161564. The cubic root of 42567 is about 34.9159889847.

It can be divided in two parts, 4256 and 7, that multiplied together give a palindrome (29792).

The spelling of 42567 in words is "forty-two thousand, five hundred sixty-seven".