827838 has 48 divisors (see below), whose sum is σ = 2027376. Its totient is φ = 241920.

The previous prime is 827837. The next prime is 827843. The reversal of 827838 is 838728.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827833) by changing a digit.

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, 7270 + ... + 7382.

It is an arithmetic number, because the mean of its divisors is an integer number (42237).

2⁸²⁷⁸³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013688).

827838 is an abundant number, since it is smaller than the sum of its proper divisors (1199538).

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

827838 is a wasteful number, since it uses less digits than its factorization.

827838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 166 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 827838 is about 909.8560325678. The cubic root of 827838 is about 93.8962942598.

The spelling of 827838 in words is "eight hundred twenty-seven thousand, eight hundred thirty-eight".