1008005 has 6 divisors (see below), whose sum is σ = 1212306. Its totient is φ = 804608.

The previous prime is 1008001. The next prime is 1008013. The reversal of 1008005 is 5008001.

1008005 is digitally balanced in base 2, 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 3 ways, for example, as 178084 + 829921 = 422^2 + 911^2 .

It is not a de Polignac number, because 1008005 - 2² = 1008001 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2021 + ... + 2469.

It is an arithmetic number, because the mean of its divisors is an integer number (202051).

2^1008005 is an apocalyptic number.

It is an amenable number.

1008005 is a deficient number, since it is larger than the sum of its proper divisors (204301).

1008005 is an frugal number, since it uses more digits than its factorization.

1008005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 454 counting only the distinct ones).

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

The square root of 1008005 is about 1003.9945218974. The cubic root of 1008005 is about 100.2661244827.

The spelling of 1008005 in words is "one million, eight thousand, five".