8006 has 4 divisors (see below), whose sum is σ = 12012. Its totient is φ = 4002.

The previous prime is 7993. The next prime is 8009. The reversal of 8006 is 6008.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8009) by changing a digit.

8006 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 as a sum of consecutive naturals, namely, 2000 + ... + 2003.

It is an arithmetic number, because the mean of its divisors is an integer number (3003).

2⁸⁰⁰⁶ is an apocalyptic number.

8006 is a deficient number, since it is larger than the sum of its proper divisors (4006).

8006 is a wasteful number, since it uses less digits than its factorization.

8006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 8006 is about 89.4762538331. The cubic root of 8006 is about 20.0049987505.

The spelling of 8006 in words is "eight thousand, six".