813363 has 8 divisors (see below), whose sum is σ = 1122000. Its totient is φ = 523488.

The previous prime is 813361. The next prime is 813367. The reversal of 813363 is 363318.

813363 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 813363 - 2¹ = 813361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (813361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4588 + ... + 4761.

It is an arithmetic number, because the mean of its divisors is an integer number (140250).

2⁸¹³³⁶³ is an apocalyptic number.

813363 is a deficient number, since it is larger than the sum of its proper divisors (308637).

813363 is a wasteful number, since it uses less digits than its factorization.

813363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9381.

The product of its digits is 1296, while the sum is 24.

The square root of 813363 is about 901.8663980879. The cubic root of 813363 is about 93.3458047394.

It can be divided in two parts, 813 and 363, that added together give a triangular number (1176 = T₄₈).

The spelling of 813363 in words is "eight hundred thirteen thousand, three hundred sixty-three".