809361 has 24 divisors (see below), whose sum is σ = 1385280. Its totient is φ = 445536.

The previous prime is 809359. The next prime is 809377. The reversal of 809361 is 163908.

It is not a de Polignac number, because 809361 - 2¹ = 809359 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 809361.

It is not an unprimeable number, because it can be changed into a prime (809261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1606 + ... + 2048.

It is an arithmetic number, because the mean of its divisors is an integer number (57720).

2⁸⁰⁹³⁶¹ is an apocalyptic number.

It is an amenable number.

809361 is a deficient number, since it is larger than the sum of its proper divisors (575919).

809361 is a wasteful number, since it uses less digits than its factorization.

809361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 809361 is about 899.6449299585. The cubic root of 809361 is about 93.1924561179.

The spelling of 809361 in words is "eight hundred nine thousand, three hundred sixty-one".