42167 has 4 divisors (see below), whose sum is σ = 42600. Its totient is φ = 41736.

The previous prime is 42157. The next prime is 42169. The reversal of 42167 is 76124.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 42167 - 2⁸ = 41911 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (10650).

2⁴²¹⁶⁷ is an apocalyptic number.

42167 is a deficient number, since it is larger than the sum of its proper divisors (433).

42167 is a wasteful number, since it uses less digits than its factorization.

42167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432.

The product of its digits is 336, while the sum is 20.

The square root of 42167 is about 205.3460493898. The cubic root of 42167 is about 34.8062766676.

It can be divided in two parts, 4 and 2167, that multiplied together give a palindrome (8668).

The spelling of 42167 in words is "forty-two thousand, one hundred sixty-seven".