820827 has 32 divisors (see below), whose sum is σ = 1436160. Its totient is φ = 453600.

The previous prime is 820793. The next prime is 820837. The reversal of 820827 is 728028.

820827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820827 - 2⁶ = 820763 is a prime.

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 820827.

It is not an unprimeable number, because it can be changed into a prime (820837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8077 + ... + 8177.

It is an arithmetic number, because the mean of its divisors is an integer number (44880).

2⁸²⁰⁸²⁷ is an apocalyptic number.

820827 is a deficient number, since it is larger than the sum of its proper divisors (615333).

820827 is a wasteful number, since it uses less digits than its factorization.

820827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 820827 is about 905.9950330990. The cubic root of 820827 is about 93.6304716699.

The spelling of 820827 in words is "eight hundred twenty thousand, eight hundred twenty-seven".