827106 has 32 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 230736.

The previous prime is 827087. The next prime is 827129. The reversal of 827106 is 601728.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 1765 + ... + 2183.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

2⁸²⁷¹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

827106 is an abundant number, since it is smaller than the sum of its proper divisors (1108254).

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

827106 is a wasteful number, since it uses less digits than its factorization.

827106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 827106 is about 909.4536821631. The cubic root of 827106 is about 93.8686107615.

The spelling of 827106 in words is "eight hundred twenty-seven thousand, one hundred six".