827944 has 32 divisors (see below), whose sum is σ = 1764000. Its totient is φ = 361152.

The previous prime is 827941. The next prime is 827969. The reversal of 827944 is 449728.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 8 + 2⁵ + 9 + 7⁷ + 4⁴ + 4⁶ .

It is not an unprimeable number, because it can be changed into a prime (827941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1767 + ... + 2185.

It is an arithmetic number, because the mean of its divisors is an integer number (55125).

2⁸²⁷⁹⁴⁴ 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 827944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882000).

827944 is an abundant number, since it is smaller than the sum of its proper divisors (936056).

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

827944 is a wasteful number, since it uses less digits than its factorization.

827944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 827944 is about 909.9142816771. The cubic root of 827944 is about 93.9003017196.

It can be divided in two parts, 827 and 944, that added together give a palindrome (1771).

The spelling of 827944 in words is "eight hundred twenty-seven thousand, nine hundred forty-four".