813193 has 4 divisors (see below), whose sum is σ = 822420. Its totient is φ = 803968.

The previous prime is 813167. The next prime is 813199. The reversal of 813193 is 391318.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 391318 = 2 ⋅195659.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 751689 = 248^2 + 867^2 .

It is a cyclic number.

It is not a de Polignac number, because 813193 - 2⁹ = 812681 is a prime.

It is a super-2 number, since 2×813193² = 1322565710498, which contains 22 as substring.

It is a Duffinian number.

813193 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (813199) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4480 + ... + 4657.

It is an arithmetic number, because the mean of its divisors is an integer number (205605).

2⁸¹³¹⁹³ is an apocalyptic number.

It is an amenable number.

813193 is a deficient number, since it is larger than the sum of its proper divisors (9227).

813193 is an equidigital number, since it uses as much as digits as its factorization.

813193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9226.

The product of its digits is 648, while the sum is 25.

The square root of 813193 is about 901.7721441695. The cubic root of 813193 is about 93.3393009223.

Subtracting from 813193 its reverse (391318), we obtain a cube (421875 = 75³).

The spelling of 813193 in words is "eight hundred thirteen thousand, one hundred ninety-three".