820415331 has 16 divisors (see below), whose sum is σ = 1226793600. Its totient is φ = 541830024.

The previous prime is 820415329. The next prime is 820415339. The reversal of 820415331 is 133514028.

It is a happy number.

820415331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820415331 - 2¹ = 820415329 is a prime.

It is a super-2 number, since 2×820415331² = 1346162630679679122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 820415295 and 820415304.

It is not an unprimeable number, because it can be changed into a prime (820415339) 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, 139101 + ... + 144878.

It is an arithmetic number, because the mean of its divisors is an integer number (76674600).

Almost surely, 2^820415331 is an apocalyptic number.

820415331 is a deficient number, since it is larger than the sum of its proper divisors (406378269).

820415331 is a wasteful number, since it uses less digits than its factorization.

820415331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284095 (or 284089 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 820415331 is about 28642.8932023286. The cubic root of 820415331 is about 936.1481623609.

Adding to 820415331 its reverse (133514028), we get a palindrome (953929359).

The spelling of 820415331 in words is "eight hundred twenty million, four hundred fifteen thousand, three hundred thirty-one".