820482819 has 16 divisors (see below), whose sum is σ = 1218756000. Its totient is φ = 487501056.

The previous prime is 820482809. The next prime is 820482821. The reversal of 820482819 is 918284028.

It is not a de Polignac number, because 820482819 - 2⁸ = 820482563 is a prime.

It is a super-2 number, since 2×820482819² = 1346384112548373522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (820482809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361594 + ... + 363855.

It is an arithmetic number, because the mean of its divisors is an integer number (76172250).

Almost surely, 2^820482819 is an apocalyptic number.

820482819 is a deficient number, since it is larger than the sum of its proper divisors (398273181).

820482819 is a wasteful number, since it uses less digits than its factorization.

820482819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725494.

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 820482819 is about 28644.0712713818. The cubic root of 820482819 is about 936.1738310812.

The spelling of 820482819 in words is "eight hundred twenty million, four hundred eighty-two thousand, eight hundred nineteen".