8004105 has 24 divisors (see below), whose sum is σ = 14047488. Its totient is φ = 4215456.

The previous prime is 8004103. The next prime is 8004119. The reversal of 8004105 is 5014008.

It is not a de Polignac number, because 8004105 - 2¹ = 8004103 is a prime.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 2664 + ... + 4806.

It is an arithmetic number, because the mean of its divisors is an integer number (585312).

Almost surely, 2^8004105 is an apocalyptic number.

It is an amenable number.

8004105 is a deficient number, since it is larger than the sum of its proper divisors (6043383).

8004105 is a wasteful number, since it uses less digits than its factorization.

8004105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8004105 is about 2829.1527000146. The cubic root of 8004105 is about 200.0342024840.

The spelling of 8004105 in words is "eight million, four thousand, one hundred five".