8002251 has 6 divisors (see below), whose sum is σ = 11558820. Its totient is φ = 5334828.

The previous prime is 8002243. The next prime is 8002259. The reversal of 8002251 is 1522008.

It is an interprime number because it is at equal distance from previous prime (8002243) and next prime (8002259).

It is not a de Polignac number, because 8002251 - 2³ = 8002243 is a prime.

8002251 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8002259) 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 5 ways as a sum of consecutive naturals, for example, 444561 + ... + 444578.

It is an arithmetic number, because the mean of its divisors is an integer number (1926470).

Almost surely, 2^8002251 is an apocalyptic number.

8002251 is a deficient number, since it is larger than the sum of its proper divisors (3556569).

8002251 is a wasteful number, since it uses less digits than its factorization.

8002251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889145 (or 889142 counting only the distinct ones).

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

The square root of 8002251 is about 2828.8250210997. The cubic root of 8002251 is about 200.0187565742.

Adding to 8002251 its reverse (1522008), we get a palindrome (9524259).

The spelling of 8002251 in words is "eight million, two thousand, two hundred fifty-one".