820365282 has 48 divisors (see below), whose sum is σ = 2005922880. Its totient is φ = 240021600.

The previous prime is 820365281. The next prime is 820365317. The reversal of 820365282 is 282563028.

It is not an unprimeable number, because it can be changed into a prime (820365281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65694 + ... + 77177.

It is an arithmetic number, because the mean of its divisors is an integer number (41790060).

Almost surely, 2^820365282 is an apocalyptic number.

820365282 is an abundant number, since it is smaller than the sum of its proper divisors (1185557598).

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

820365282 is a wasteful number, since it uses less digits than its factorization.

820365282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142919 (or 142916 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 820365282 is about 28642.0195167869. The cubic root of 820365282 is about 936.1291255673.

The spelling of 820365282 in words is "eight hundred twenty million, three hundred sixty-five thousand, two hundred eighty-two".