42006 has 8 divisors (see below), whose sum is σ = 84024. Its totient is φ = 14000.

The previous prime is 41999. The next prime is 42013. The reversal of 42006 is 60024.

It is an interprime number because it is at equal distance from previous prime (41999) and next prime (42013).

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

42006 is an admirable number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 41982 and 42000.

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 42006.

It is an unprimeable number.

42006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3495 + ... + 3506.

It is an arithmetic number, because the mean of its divisors is an integer number (10503).

2⁴²⁰⁰⁶ is an apocalyptic number.

42006 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42012).

42006 is a wasteful number, since it uses less digits than its factorization.

42006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7006.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 42006 is about 204.9536532975. The cubic root of 42006 is about 34.7619216208.

It can be divided in two parts, 4200 and 6, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 42006 in words is "forty-two thousand, six", and thus it is an eban number.