811332 has 36 divisors (see below), whose sum is σ = 2119936. Its totient is φ = 261360.

The previous prime is 811297. The next prime is 811337. The reversal of 811332 is 233118.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×811332² = 1316519228448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (811337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753 + ... + 1479.

2⁸¹¹³³² 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 811332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059968).

811332 is an abundant number, since it is smaller than the sum of its proper divisors (1308604).

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

811332 is a wasteful number, since it uses less digits than its factorization.

811332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 763 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 811332 is about 900.7396960277. The cubic root of 811332 is about 93.2680439079.

The spelling of 811332 in words is "eight hundred eleven thousand, three hundred thirty-two".