8004001 has 4 divisors (see below), whose sum is σ = 8048404. Its totient is φ = 7959600.

The previous prime is 8003987. The next prime is 8004011. The reversal of 8004001 is 1004008.

8004001 = 2000² + 2001².

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

It can be written as a sum of positive squares in 2 ways, for example, as 4004001 + 4000000 = 2001^2 + 2000^2 .

It is a cyclic number.

It is not a de Polignac number, because 8004001 - 2⁷ = 8003873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8004011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21930 + ... + 22291.

It is an arithmetic number, because the mean of its divisors is an integer number (2012101).

Almost surely, 2^8004001 is an apocalyptic number.

8004001 is the 2001-st centered square number.

It is an amenable number.

8004001 is a deficient number, since it is larger than the sum of its proper divisors (44403).

8004001 is a wasteful number, since it uses less digits than its factorization.

8004001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44402.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 8004001 is about 2829.1343198936. The cubic root of 8004001 is about 200.0333361099.

Adding to 8004001 its reverse (1004008), we get a palindrome (9008009).

The spelling of 8004001 in words is "eight million, four thousand, one".