809193 has 32 divisors (see below), whose sum is σ = 1400832. Its totient is φ = 403200.

The previous prime is 809189. The next prime is 809201. The reversal of 809193 is 391908.

It is a happy number.

809193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 809193 - 2² = 809189 is a prime.

It is a super-2 number, since 2×809193² = 1309586622498, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 809193.

It is not an unprimeable number, because it can be changed into a prime (809143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7105 + ... + 7217.

It is an arithmetic number, because the mean of its divisors is an integer number (43776).

2⁸⁰⁹¹⁹³ is an apocalyptic number.

It is an amenable number.

809193 is a deficient number, since it is larger than the sum of its proper divisors (591639).

809193 is a wasteful number, since it uses less digits than its factorization.

809193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 809193 is about 899.5515549428. The cubic root of 809193 is about 93.1860076497.

The spelling of 809193 in words is "eight hundred nine thousand, one hundred ninety-three".