812912 has 30 divisors (see below), whose sum is σ = 1679208. Its totient is φ = 380512.

The previous prime is 812869. The next prime is 812921. The reversal of 812912 is 219218.

812912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

Its product of digits (288) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17273 + ... + 17319.

2⁸¹²⁹¹² 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 812912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839604).

812912 is an abundant number, since it is smaller than the sum of its proper divisors (866296).

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

812912 is a wasteful number, since it uses less digits than its factorization.

812912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 72 counting only the distinct ones).

The product of its digits is 288, while the sum is 23.

The square root of 812912 is about 901.6163263828. The cubic root of 812912 is about 93.3285485075.

Multiplying 812912 by its sum of digits (23), we get a square (18696976 = 4324²).

812912 divided by its sum of digits (23) gives a square (35344 = 188²).

The spelling of 812912 in words is "eight hundred twelve thousand, nine hundred twelve".