827872 has 24 divisors (see below), whose sum is σ = 1672272. Its totient is φ = 403200.

The previous prime is 827867. The next prime is 827873. The reversal of 827872 is 278728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827873) by changing a digit.

827872 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 3 ways as a sum of consecutive naturals, for example, 997 + ... + 1627.

It is an arithmetic number, because the mean of its divisors is an integer number (69678).

2⁸²⁷⁸⁷² is an apocalyptic number.

827872 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 827872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836136).

827872 is an abundant number, since it is smaller than the sum of its proper divisors (844400).

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

827872 is a wasteful number, since it uses less digits than its factorization.

827872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its digits is 12544, while the sum is 34.

The square root of 827872 is about 909.8747166506. The cubic root of 827872 is about 93.8975797087.

The spelling of 827872 in words is "eight hundred twenty-seven thousand, eight hundred seventy-two".