1005005 has 16 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 745920.

The previous prime is 1004987. The next prime is 1005007. The reversal of 1005005 is 5005001.

It is not a de Polignac number, because 1005005 - 2⁸ = 1004749 is a prime.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6671 + ... + 6819.

It is an arithmetic number, because the mean of its divisors is an integer number (81000).

2^1005005 is an apocalyptic number.

It is an amenable number.

1005005 is a deficient number, since it is larger than the sum of its proper divisors (290995).

1005005 is a wasteful number, since it uses less digits than its factorization.

1005005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244.

The product of its (nonzero) digits is 25, while the sum is 11.

The square root of 1005005 is about 1002.4993765584. The cubic root of 1005005 is about 100.1665557711.

It can be divided in two parts, 100 and 5005, that multiplied together give a triangular number (500500 = T₁₀₀₀).

The spelling of 1005005 in words is "one million, five thousand, five".