820276633 has 16 divisors (see below), whose sum is σ = 907816896. Its totient is φ = 734943040.

The previous prime is 820276631. The next prime is 820276649. The reversal of 820276633 is 336672028.

820276633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 820276633 - 2¹ = 820276631 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 820276592 and 820276601.

It is not an unprimeable number, because it can be changed into a prime (820276631) 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, 507735 + ... + 509347.

It is an arithmetic number, because the mean of its divisors is an integer number (56738556).

Almost surely, 2^820276633 is an apocalyptic number.

820276633 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

820276633 is a deficient number, since it is larger than the sum of its proper divisors (87540263).

820276633 is a wasteful number, since it uses less digits than its factorization.

820276633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264.

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 820276633 is about 28640.4719409440. The cubic root of 820276633 is about 936.0954048569.

The spelling of 820276633 in words is "eight hundred twenty million, two hundred seventy-six thousand, six hundred thirty-three".