1005008 has 20 divisors (see below), whose sum is σ = 2032608. Its totient is φ = 480480.

The previous prime is 1005007. The next prime is 1005013. The reversal of 1005008 is 8005001.

It is a junction number, because it is equal to n+sod(n) for n = 1004983 and 1005001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005007) 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 3 ways as a sum of consecutive naturals, for example, 998 + ... + 1733.

2^1005008 is an apocalyptic number.

It is an amenable number.

1005008 is an abundant number, since it is smaller than the sum of its proper divisors (1027600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005008 is a wasteful number, since it uses less digits than its factorization.

1005008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2756 counting only the distinct ones).

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

The square root of 1005008 is about 1002.5008728176. The cubic root of 1005008 is about 100.1666554387.

The spelling of 1005008 in words is "one million, five thousand, eight".