827832 has 32 divisors (see below), whose sum is σ = 2192400. Its totient is φ = 259584.

The previous prime is 827821. The next prime is 827833. The reversal of 827832 is 238728.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 8² + 2⁴ + 8⁴ + 7⁷ + 3⁴ + 2⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 827832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827833) 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, 607 + ... + 1422.

2⁸²⁷⁸³² is an apocalyptic number.

It is an amenable number.

827832 is an abundant number, since it is smaller than the sum of its proper divisors (1364568).

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

827832 is a wasteful number, since it uses less digits than its factorization.

827832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2051 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 827832 is about 909.8527353369. The cubic root of 827832 is about 93.8960674122.

The spelling of 827832 in words is "eight hundred twenty-seven thousand, eight hundred thirty-two".