820484105 has 16 divisors (see below), whose sum is σ = 1136381184. Its totient is φ = 557044800.

The previous prime is 820484101. The next prime is 820484113. The reversal of 820484105 is 501484028.

It is a happy number.

It is not a de Polignac number, because 820484105 - 2² = 820484101 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820484101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 112517 + ... + 119586.

It is an arithmetic number, because the mean of its divisors is an integer number (71023824).

Almost surely, 2^820484105 is an apocalyptic number.

It is an amenable number.

820484105 is a deficient number, since it is larger than the sum of its proper divisors (315897079).

820484105 is a wasteful number, since it uses less digits than its factorization.

820484105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232216.

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 820484105 is about 28644.0937192993. The cubic root of 820484105 is about 936.1743201911.

The spelling of 820484105 in words is "eight hundred twenty million, four hundred eighty-four thousand, one hundred five".