904909 has 6 divisors (see below), whose sum is σ = 931434. Its totient is φ = 879120.

The previous prime is 904907. The next prime is 904919. The reversal of 904909 is 909409.

904909 = 72² + 73² + ... + 145².

904909 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 3 ways, for example, as 644809 + 260100 = 803^2 + 510^2 .

It is not a de Polignac number, because 904909 - 2¹ = 904907 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 (904901) 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 5 ways as a sum of consecutive naturals, for example, 1039 + ... + 1699.

It is an arithmetic number, because the mean of its divisors is an integer number (155239).

2⁹⁰⁴⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

904909 is a deficient number, since it is larger than the sum of its proper divisors (26525).

904909 is an equidigital number, since it uses as much as digits as its factorization.

904909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 904909 is about 951.2670497815. The cubic root of 904909 is about 96.7241605396.

The spelling of 904909 in words is "nine hundred four thousand, nine hundred nine".