827408 has 10 divisors (see below), whose sum is σ = 1603134. Its totient is φ = 413696.

The previous prime is 827389. The next prime is 827417. The reversal of 827408 is 804728.

It can be written as a sum of positive squares in only one way, i.e., 753424 + 73984 = 868^2 + 272^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25841 + ... + 25872.

2⁸²⁷⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

827408 is a deficient number, since it is larger than the sum of its proper divisors (775726).

827408 is a wasteful number, since it uses less digits than its factorization.

827408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51721 (or 51715 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 827408 is about 909.6197007541. The cubic root of 827408 is about 93.8800340740.

The spelling of 827408 in words is "eight hundred twenty-seven thousand, four hundred eight".