8005007 has 2 divisors, whose sum is σ = 8005008. Its totient is φ = 8005006.

The previous prime is 8005003. The next prime is 8005027. The reversal of 8005007 is 7005008.

It is an a-pointer prime, because the next prime (8005027) can be obtained adding 8005007 to its sum of digits (20).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 8005007 - 2² = 8005003 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8005007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8005003) 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 as a sum of consecutive naturals, namely, 4002503 + 4002504.

It is an arithmetic number, because the mean of its divisors is an integer number (4002504).

Almost surely, 2^8005007 is an apocalyptic number.

8005007 is a deficient number, since it is larger than the sum of its proper divisors (1).

8005007 is an equidigital number, since it uses as much as digits as its factorization.

8005007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 8005007 is about 2829.3121072091. The cubic root of 8005007 is about 200.0417162981.

Subtracting from 8005007 its reverse (7005008), we obtain a palindrome (999999).

The spelling of 8005007 in words is "eight million, five thousand, seven".