811832 has 48 divisors (see below), whose sum is σ = 1881000. Its totient is φ = 326592.

The previous prime is 811819. The next prime is 811861. The reversal of 811832 is 238118.

811832 is nontrivially palindromic in base 6.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 811798 and 811807.

It is a congruent number.

It is an unprimeable number.

811832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7394 + ... + 7502.

2⁸¹¹⁸³² 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 811832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940500).

811832 is an abundant number, since it is smaller than the sum of its proper divisors (1069168).

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

811832 is a wasteful number, since it uses less digits than its factorization.

811832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its digits is 384, while the sum is 23.

The square root of 811832 is about 901.0172029434. The cubic root of 811832 is about 93.2871994224.

The spelling of 811832 in words is "eight hundred eleven thousand, eight hundred thirty-two".