827218821 has 32 divisors (see below), whose sum is σ = 1325947392. Its totient is φ = 452007360.

The previous prime is 827218807. The next prime is 827218837. The reversal of 827218821 is 128812728.

827218821 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 827218821 - 2¹⁴ = 827202437 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 827218821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827218871) 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, 3975 + ... + 40868.

It is an arithmetic number, because the mean of its divisors is an integer number (41435856).

Almost surely, 2^827218821 is an apocalyptic number.

It is an amenable number.

827218821 is a deficient number, since it is larger than the sum of its proper divisors (498728571).

827218821 is a wasteful number, since it uses less digits than its factorization.

827218821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44913.

The product of its digits is 28672, while the sum is 39.

The square root of 827218821 is about 28761.4120133209. The cubic root of 827218821 is about 938.7287860180.

The spelling of 827218821 in words is "eight hundred twenty-seven million, two hundred eighteen thousand, eight hundred twenty-one".