827298 has 48 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 250560.

The previous prime is 827293. The next prime is 827303. The reversal of 827298 is 892728.

It is an interprime number because it is at equal distance from previous prime (827293) and next prime (827303).

It is not an unprimeable number, because it can be changed into a prime (827293) by changing a digit.

827298 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13993 + ... + 14051.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

2⁸²⁷²⁹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982800).

827298 is an abundant number, since it is smaller than the sum of its proper divisors (1138302).

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

827298 is a wasteful number, since it uses less digits than its factorization.

827298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 124 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 827298 is about 909.5592339150. The cubic root of 827298 is about 93.8758735867.

The spelling of 827298 in words is "eight hundred twenty-seven thousand, two hundred ninety-eight".