809953 has 4 divisors (see below), whose sum is σ = 815920. Its totient is φ = 803988.

The previous prime is 809929. The next prime is 809981. The reversal of 809953 is 359908.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 809953 - 2¹³ = 801761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (809903) 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 3 ways as a sum of consecutive naturals, for example, 2775 + ... + 3052.

It is an arithmetic number, because the mean of its divisors is an integer number (203980).

2⁸⁰⁹⁹⁵³ is an apocalyptic number.

It is an amenable number.

809953 is a deficient number, since it is larger than the sum of its proper divisors (5967).

809953 is a wasteful number, since it uses less digits than its factorization.

809953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966.

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 809953 is about 899.9738885101. The cubic root of 809953 is about 93.2151721817.

The spelling of 809953 in words is "eight hundred nine thousand, nine hundred fifty-three".