827232 has 48 divisors (see below), whose sum is σ = 2483712. Its totient is φ = 236160.

The previous prime is 827231. The next prime is 827251. The reversal of 827232 is 232728.

827232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 1287.

It is an arithmetic number, because the mean of its divisors is an integer number (51744).

2⁸²⁷²³² 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 827232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241856).

827232 is an abundant number, since it is smaller than the sum of its proper divisors (1656480).

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

827232 is a wasteful number, since it uses less digits than its factorization.

827232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1243 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 827232 is about 909.5229518819. The cubic root of 827232 is about 93.8733771173.

The spelling of 827232 in words is "eight hundred twenty-seven thousand, two hundred thirty-two".