827392 has 28 divisors (see below), whose sum is σ = 1671066. Its totient is φ = 409600.

The previous prime is 827389. The next prime is 827417. The reversal of 827392 is 293728.

It can be written as a sum of positive squares in only one way, i.e., 495616 + 331776 = 704^2 + 576^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8142 + ... + 8242.

2⁸²⁷³⁹² 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 827392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835533).

827392 is an abundant number, since it is smaller than the sum of its proper divisors (843674).

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

827392 is an equidigital number, since it uses as much as digits as its factorization.

827392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 103 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 827392 is about 909.6109058273. The cubic root of 827392 is about 93.8794289351.

The spelling of 827392 in words is "eight hundred twenty-seven thousand, three hundred ninety-two".