8006001 has 16 divisors (see below), whose sum is σ = 11525760. Its totient is φ = 4928000.

The previous prime is 8005957. The next prime is 8006003. The reversal of 8006001 is 1006008.

8006001 is a nontrivial binomial coefficient, being equal to C(4002, 2).

It is a cyclic number.

It is not a de Polignac number, because 8006001 - 2⁷ = 8005873 is a prime.

It is an Ulam number.

8006001 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8006003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 4001.

It is an arithmetic number, because the mean of its divisors is an integer number (720360).

Almost surely, 2^8006001 is an apocalyptic number.

8006001 is the 4001-st triangular number and also the 2001-st hexagonal number.

It is an amenable number.

8006001 is a deficient number, since it is larger than the sum of its proper divisors (3519759).

8006001 is a wasteful number, since it uses less digits than its factorization.

8006001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 8006001 is about 2829.4877628292. The cubic root of 8006001 is about 200.0499958344.

The spelling of 8006001 in words is "eight million, six thousand, one".