42008 has 16 divisors (see below), whose sum is σ = 81000. Its totient is φ = 20416.

The previous prime is 41999. The next prime is 42013. The reversal of 42008 is 80024.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 41983 and 42001.

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 42008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 428 + ... + 516.

2⁴²⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

42008 is a deficient number, since it is larger than the sum of its proper divisors (38992).

42008 is a wasteful number, since it uses less digits than its factorization.

42008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 42008 is about 204.9585323913. The cubic root of 42008 is about 34.7624733098.

The spelling of 42008 in words is "forty-two thousand, eight".