1006805 has 8 divisors (see below), whose sum is σ = 1228344. Its totient is φ = 792000.

The previous prime is 1006799. The next prime is 1006847. The reversal of 1006805 is 5086001.

It can be written as a sum of positive squares in 4 ways, for example, as 18769 + 988036 = 137^2 + 994^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1006805 - 2¹² = 1002709 is a prime.

It is a super-3 number, since 3×1006805³ = 3061662717603330375, which contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1346 + ... + 1955.

It is an arithmetic number, because the mean of its divisors is an integer number (153543).

2^1006805 is an apocalyptic number.

It is an amenable number.

1006805 is a deficient number, since it is larger than the sum of its proper divisors (221539).

1006805 is an equidigital number, since it uses as much as digits as its factorization.

1006805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1006805 is about 1003.3967311089. The cubic root of 1006805 is about 100.2263207362.

The spelling of 1006805 in words is "one million, six thousand, eight hundred five".