8004101 has 12 divisors (see below), whose sum is σ = 9357120. Its totient is φ = 6826680.

The previous prime is 8004097. The next prime is 8004103. The reversal of 8004101 is 1014008.

It is a happy number.

8004101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8004101 - 2² = 8004097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18356 + ... + 18786.

It is an arithmetic number, because the mean of its divisors is an integer number (779760).

Almost surely, 2^8004101 is an apocalyptic number.

It is an amenable number.

8004101 is a deficient number, since it is larger than the sum of its proper divisors (1353019).

8004101 is a wasteful number, since it uses less digits than its factorization.

8004101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 8004101 is about 2829.1519930891. The cubic root of 8004101 is about 200.0341691620.

Adding to 8004101 its reverse (1014008), we get a palindrome (9018109).

The spelling of 8004101 in words is "eight million, four thousand, one hundred one".