813393 has 12 divisors (see below), whose sum is σ = 1342848. Its totient is φ = 464760.

The previous prime is 813383. The next prime is 813401. The reversal of 813393 is 393318.

It is not a de Polignac number, because 813393 - 2⁴ = 813377 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (813343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6393 + ... + 6518.

It is an arithmetic number, because the mean of its divisors is an integer number (111904).

2⁸¹³³⁹³ is an apocalyptic number.

It is an amenable number.

813393 is a deficient number, since it is larger than the sum of its proper divisors (529455).

813393 is a wasteful number, since it uses less digits than its factorization.

813393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12924 (or 12921 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 813393 is about 901.8830301098. The cubic root of 813393 is about 93.3469523777.

The spelling of 813393 in words is "eight hundred thirteen thousand, three hundred ninety-three".