1008205 has 16 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 700480.

The previous prime is 1008199. The next prime is 1008209. The reversal of 1008205 is 5028001.

It is a happy number.

It is not a de Polignac number, because 1008205 - 2⁹ = 1007693 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 (1008209) 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 15 ways as a sum of consecutive naturals, for example, 867 + ... + 1663.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

2^1008205 is an apocalyptic number.

It is an amenable number.

1008205 is a deficient number, since it is larger than the sum of its proper divisors (370739).

1008205 is a wasteful number, since it uses less digits than its factorization.

1008205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1008205 is about 1004.0941190944. The cubic root of 1008205 is about 100.2727553687.

It can be divided in two parts, 100820 and 5, that multiplied together give a square (504100 = 710²).

The spelling of 1008205 in words is "one million, eight thousand, two hundred five".