813224 has 8 divisors (see below), whose sum is σ = 1524810. Its totient is φ = 406608.

The previous prime is 813221. The next prime is 813227. The reversal of 813224 is 422318.

It is an interprime number because it is at equal distance from previous prime (813221) and next prime (813227).

It can be written as a sum of positive squares in only one way, i.e., 465124 + 348100 = 682^2 + 590^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×813224² = 1322666548352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813196 and 813205.

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 as a sum of consecutive naturals, namely, 50819 + ... + 50834.

2⁸¹³²²⁴ is an apocalyptic number.

It is an amenable number.

813224 is a deficient number, since it is larger than the sum of its proper divisors (711586).

813224 is a wasteful number, since it uses less digits than its factorization.

813224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101659 (or 101655 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 813224 is about 901.7893323831. The cubic root of 813224 is about 93.3404869800.

The spelling of 813224 in words is "eight hundred thirteen thousand, two hundred twenty-four".