812916 has 60 divisors (see below), whose sum is σ = 2300452. Its totient is φ = 248832.

The previous prime is 812869. The next prime is 812921. The reversal of 812916 is 619218.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 656100 = 396^2 + 810^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 812916.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 812916.

It is an unprimeable number.

812916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4116 + ... + 4308.

2⁸¹²⁹¹⁶ 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 812916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150226).

812916 is an abundant number, since it is smaller than the sum of its proper divisors (1487536).

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

812916 is a wasteful number, since it uses less digits than its factorization.

812916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 812916 is about 901.6185446185. The cubic root of 812916 is about 93.3287015842.

It can be divided in two parts, 812 and 916, that added together give a cube (1728 = 12³).

The spelling of 812916 in words is "eight hundred twelve thousand, nine hundred sixteen".