8005251 has 8 divisors (see below), whose sum is σ = 11235520. Its totient is φ = 5055912.

The previous prime is 8005243. The next prime is 8005271. The reversal of 8005251 is 1525008.

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

It is not a de Polignac number, because 8005251 - 2³ = 8005243 is a prime.

It is a Duffinian number.

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70165 + ... + 70278.

It is an arithmetic number, because the mean of its divisors is an integer number (1404440).

Almost surely, 2^8005251 is an apocalyptic number.

8005251 is a deficient number, since it is larger than the sum of its proper divisors (3230269).

8005251 is a wasteful number, since it uses less digits than its factorization.

8005251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140465.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 8005251 is about 2829.3552269024. The cubic root of 8005251 is about 200.0437487629.

It can be divided in two parts, 8005 and 251, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 8005251 in words is "eight million, five thousand, two hundred fifty-one".