827984 has 10 divisors (see below), whose sum is σ = 1604250. Its totient is φ = 413984.

The previous prime is 827969. The next prime is 827987. The reversal of 827984 is 489728.

It can be written as a sum of positive squares in only one way, i.e., 760384 + 67600 = 872^2 + 260^2 .

It is a d-powerful number, because it can be written as 8² + 2⁸ + 9 + 7⁷ + 8⁴ + 4² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827987) by changing a digit.

827984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 25859 + ... + 25890.

It is an arithmetic number, because the mean of its divisors is an integer number (160425).

2⁸²⁷⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

827984 is a deficient number, since it is larger than the sum of its proper divisors (776266).

827984 is a wasteful number, since it uses less digits than its factorization.

827984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51757 (or 51751 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 827984 is about 909.9362615041. The cubic root of 827984 is about 93.9018138796.

The spelling of 827984 in words is "eight hundred twenty-seven thousand, nine hundred eighty-four".