812032 has 44 divisors (see below), whose sum is σ = 1776796. Its totient is φ = 368640.

The previous prime is 812011. The next prime is 812033. The reversal of 812032 is 230218.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 746496 = 256^2 + 864^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 811997 and 812015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812033) by changing a digit.

812032 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13282 + ... + 13342.

2⁸¹²⁰³² 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 812032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888398).

812032 is an abundant number, since it is smaller than the sum of its proper divisors (964764).

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

812032 is a wasteful number, since it uses less digits than its factorization.

812032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 812032 is about 901.1281817810. The cubic root of 812032 is about 93.2948594259.

The spelling of 812032 in words is "eight hundred twelve thousand, thirty-two".