8005291 has 8 divisors (see below), whose sum is σ = 9372384. Its totient is φ = 6694080.

The previous prime is 8005271. The next prime is 8005301. The reversal of 8005291 is 1925008.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8005291 - 2¹⁷ = 7874219 is a prime.

8005291 is a modest number, since divided by 5291 gives 8 as remainder.

It is not an unprimeable number, because it can be changed into a prime (8005211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13660 + ... + 14233.

It is an arithmetic number, because the mean of its divisors is an integer number (1171548).

Almost surely, 2^8005291 is an apocalyptic number.

8005291 is a deficient number, since it is larger than the sum of its proper divisors (1367093).

8005291 is a wasteful number, since it uses less digits than its factorization.

8005291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27941.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 8005291 is about 2829.3622956419. The cubic root of 8005291 is about 200.0440819499.

The spelling of 8005291 in words is "eight million, five thousand, two hundred ninety-one".