809853 has 24 divisors (see below), whose sum is σ = 1251264. Its totient is φ = 464640.

The previous prime is 809843. The next prime is 809869. The reversal of 809853 is 358908.

It is not a de Polignac number, because 809853 - 2⁵ = 809821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

809853 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809803) 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 23 ways as a sum of consecutive naturals, for example, 8301 + ... + 8397.

It is an arithmetic number, because the mean of its divisors is an integer number (52136).

2⁸⁰⁹⁸⁵³ is an apocalyptic number.

It is an amenable number.

809853 is a deficient number, since it is larger than the sum of its proper divisors (441411).

809853 is a wasteful number, since it uses less digits than its factorization.

809853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 809853 is about 899.9183296278. The cubic root of 809853 is about 93.2113357859.

The spelling of 809853 in words is "eight hundred nine thousand, eight hundred fifty-three".