812364 has 48 divisors (see below), whose sum is σ = 2284800. Its totient is φ = 219456.

The previous prime is 812363. The next prime is 812381. The reversal of 812364 is 463218.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 812364.

It is not an unprimeable number, because it can be changed into a prime (812363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1342 + ... + 1850.

It is an arithmetic number, because the mean of its divisors is an integer number (47600).

2⁸¹²³⁶⁴ is an apocalyptic number.

812364 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142400).

812364 is an abundant number, since it is smaller than the sum of its proper divisors (1472436).

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

812364 is a wasteful number, since it uses less digits than its factorization.

812364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 540 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 812364 is about 901.3123764822. The cubic root of 812364 is about 93.3075722554.

It can be divided in two parts, 812 and 364, that added together give a triangular number (1176 = T₄₈).

The spelling of 812364 in words is "eight hundred twelve thousand, three hundred sixty-four".