820814214 has 32 divisors (see below), whose sum is σ = 1796670720. Its totient is φ = 247925600.

The previous prime is 820814209. The next prime is 820814237. The reversal of 820814214 is 412418028.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 532 + ... + 40520.

It is an arithmetic number, because the mean of its divisors is an integer number (56145960).

Almost surely, 2^820814214 is an apocalyptic number.

820814214 is an abundant number, since it is smaller than the sum of its proper divisors (975856506).

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

820814214 is a wasteful number, since it uses less digits than its factorization.

820814214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40316.

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 820814214 is about 28649.8553923052. The cubic root of 820814214 is about 936.2998550757.

It can be divided in two parts, 8208 and 14214, that added together give a palindrome (22422).

The spelling of 820814214 in words is "eight hundred twenty million, eight hundred fourteen thousand, two hundred fourteen".