813316 has 24 divisors (see below), whose sum is σ = 1680896. Its totient is φ = 336960.

The previous prime is 813311. The next prime is 813343. The reversal of 813316 is 613318.

813316 = T₈₃ + T₈₄ + ... + T₁₇₅.

It is a super-2 number, since 2×813316² = 1322965831712, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 813316.

It is not an unprimeable number, because it can be changed into a prime (813311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400 + ... + 1336.

2⁸¹³³¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840448).

813316 is an abundant number, since it is smaller than the sum of its proper divisors (867580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

813316 is a wasteful number, since it uses less digits than its factorization.

813316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 977 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 813316 is about 901.8403406369. The cubic root of 813316 is about 93.3440067159.

The spelling of 813316 in words is "eight hundred thirteen thousand, three hundred sixteen".