1000008005 has 8 divisors (see below), whose sum is σ = 1213493400. Its totient is φ = 791017216.

The previous prime is 1000007941. The next prime is 1000008041. The reversal of 1000008005 is 5008000001.

1000008005 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57121 + 999950884 = 239^2 + 31622^2 .

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 1000008005 - 2⁶ = 1000007941 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1123160 + ... + 1124049.

It is an arithmetic number, because the mean of its divisors is an integer number (151686675).

Almost surely, 2^1000008005 is an apocalyptic number.

It is an amenable number.

1000008005 is a deficient number, since it is larger than the sum of its proper divisors (213485395).

1000008005 is an equidigital number, since it uses as much as digits as its factorization.

1000008005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247303.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1000008005 is about 31622.9031715938. The cubic root of 1000008005 is about 1000.0026683262.

Adding to 1000008005 its reverse (5008000001), we get a palindrome (6008008006).

The spelling of 1000008005 in words is "one billion, eight thousand, five".