827344 has 40 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 346368.

The previous prime is 827327. The next prime is 827347. The reversal of 827344 is 443728.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 8³ + 2¹¹ + 3⁶ + 7⁷ + 4⁴ + 4⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9252 + ... + 9340.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2⁸²⁷³⁴⁴ 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 827344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

827344 is an abundant number, since it is smaller than the sum of its proper divisors (1047536).

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

827344 is a wasteful number, since it uses less digits than its factorization.

827344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 827344 is about 909.5845205367. The cubic root of 827344 is about 93.8776134717.

The spelling of 827344 in words is "eight hundred twenty-seven thousand, three hundred forty-four".