822132 has 36 divisors (see below), whose sum is σ = 2132676. Its totient is φ = 266880.

The previous prime is 822131. The next prime is 822139. The reversal of 822132 is 231228.

It is a happy number.

822132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 54756 + 767376 = 234^2 + 876^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1198 + ... + 1754.

It is an arithmetic number, because the mean of its divisors is an integer number (59241).

2⁸²²¹³² is an apocalyptic number.

822132 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066338).

822132 is an abundant number, since it is smaller than the sum of its proper divisors (1310544).

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

822132 is a wasteful number, since it uses less digits than its factorization.

822132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 603 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 822132 is about 906.7149496948. The cubic root of 822132 is about 93.6800651769.

It can be divided in two parts, 82213 and 2, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 822132 in words is "eight hundred twenty-two thousand, one hundred thirty-two".