813192 has 32 divisors (see below), whose sum is σ = 2100480. Its totient is φ = 262080.

The previous prime is 813167. The next prime is 813199. The reversal of 813192 is 291318.

It is a super-2 number, since 2×813192² = 1322562457728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (813199) 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, 198 + ... + 1290.

It is an arithmetic number, because the mean of its divisors is an integer number (65640).

2⁸¹³¹⁹² 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 813192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050240).

813192 is an abundant number, since it is smaller than the sum of its proper divisors (1287288).

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

813192 is a wasteful number, since it uses less digits than its factorization.

813192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1129 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 813192 is about 901.7715897055. The cubic root of 813192 is about 93.3392626619.

The spelling of 813192 in words is "eight hundred thirteen thousand, one hundred ninety-two".