813222 has 12 divisors (see below), whose sum is σ = 1762020. Its totient is φ = 271068.

The previous prime is 813221. The next prime is 813227. The reversal of 813222 is 222318.

It is a happy number.

It is a super-2 number, since 2×813222² = 1322660042568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 45179 = 813222 / (8 + 1 + 3 + 2 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 813195 and 813204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22572 + ... + 22607.

It is an arithmetic number, because the mean of its divisors is an integer number (146835).

2⁸¹³²²² is an apocalyptic number.

813222 is an abundant number, since it is smaller than the sum of its proper divisors (948798).

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

813222 is a wasteful number, since it uses less digits than its factorization.

813222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45187 (or 45184 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 813222 is about 901.7882234760. The cubic root of 813222 is about 93.3404104611.

It can be divided in two parts, 813 and 222, that added together give a triangular number (1035 = T₄₅).

The spelling of 813222 in words is "eight hundred thirteen thousand, two hundred twenty-two".