827118 has 48 divisors (see below), whose sum is σ = 1989360. Its totient is φ = 254592.

The previous prime is 827087. The next prime is 827129. The reversal of 827118 is 811728.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 827091 and 827100.

It is a congruent number.

It is an unprimeable number.

827118 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15580 + ... + 15632.

It is an arithmetic number, because the mean of its divisors is an integer number (41445).

2⁸²⁷¹¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994680).

827118 is an abundant number, since it is smaller than the sum of its proper divisors (1162242).

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

827118 is a wasteful number, since it uses less digits than its factorization.

827118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 75 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 827118 is about 909.4602795065. The cubic root of 827118 is about 93.8690647210.

The spelling of 827118 in words is "eight hundred twenty-seven thousand, one hundred eighteen".