906009 has 12 divisors (see below), whose sum is σ = 1308816. Its totient is φ = 557232.

The previous prime is 906007. The next prime is 906011. The reversal of 906009 is 900609.

It is an interprime number because it is at equal distance from previous prime (906007) and next prime (906011).

It is not a de Polignac number, because 906009 - 2¹ = 906007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 906009.

It is not an unprimeable number, because it can be changed into a prime (906007) 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 11 ways as a sum of consecutive naturals, for example, 387 + ... + 1400.

It is an arithmetic number, because the mean of its divisors is an integer number (109068).

2⁹⁰⁶⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

906009 is a deficient number, since it is larger than the sum of its proper divisors (402807).

906009 is a wasteful number, since it uses less digits than its factorization.

906009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 906009 is about 951.8450504152. The cubic root of 906009 is about 96.7633370366.

It can be divided in two parts, 90600 and 9, that added together give a palindrome (90609).

The spelling of 906009 in words is "nine hundred six thousand, nine".