820344282 has 64 divisors (see below), whose sum is σ = 1811652480. Its totient is φ = 246564864.

The previous prime is 820344271. The next prime is 820344307. The reversal of 820344282 is 282443028.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230694 + ... + 234222.

It is an arithmetic number, because the mean of its divisors is an integer number (28307070).

Almost surely, 2^820344282 is an apocalyptic number.

820344282 is an abundant number, since it is smaller than the sum of its proper divisors (991308198).

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

820344282 is a wasteful number, since it uses less digits than its factorization.

820344282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647.

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 820344282 is about 28641.6529201790. The cubic root of 820344282 is about 936.1211377112.

The spelling of 820344282 in words is "eight hundred twenty million, three hundred forty-four thousand, two hundred eighty-two".