42005 has 8 divisors (see below), whose sum is σ = 52224. Its totient is φ = 32400.

The previous prime is 41999. The next prime is 42013. The reversal of 42005 is 50024.

42005 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

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

It is not a de Polignac number, because 42005 - 2⁶ = 41941 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

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 42005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (6528).

2⁴²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

42005 is a deficient number, since it is larger than the sum of its proper divisors (10219).

42005 is a wasteful number, since it uses less digits than its factorization.

42005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307.

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 42005 is about 204.9512137071. The cubic root of 42005 is about 34.7616457698.

Adding to 42005 its reverse (50024), we get a palindrome (92029).

The spelling of 42005 in words is "forty-two thousand, five".