813393216 has 42 divisors (see below), whose sum is σ = 2331446442. Its totient is φ = 271130880.

The previous prime is 813393181. The next prime is 813393239. The reversal of 813393216 is 612393318.

It can be written as a sum of positive squares in only one way, i.e., 492840000 + 320553216 = 22200^2 + 17904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 705495 + ... + 706646.

Almost surely, 2^813393216 is an apocalyptic number.

It is an amenable number.

813393216 is an abundant number, since it is smaller than the sum of its proper divisors (1518053226).

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

813393216 is a wasteful number, since it uses less digits than its factorization.

813393216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412159 (or 1412146 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 813393216 is about 28520.0493688212. The cubic root of 813393216 is about 933.4696064061.

The spelling of 813393216 in words is "eight hundred thirteen million, three hundred ninety-three thousand, two hundred sixteen".