820055493 has 12 divisors (see below), whose sum is σ = 1222735488. Its totient is φ = 529067880.

The previous prime is 820055477. The next prime is 820055527. The reversal of 820055493 is 394550028.

It is not a de Polignac number, because 820055493 - 2⁴ = 820055477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820055413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1469355 + ... + 1469912.

It is an arithmetic number, because the mean of its divisors is an integer number (101894624).

Almost surely, 2^820055493 is an apocalyptic number.

It is an amenable number.

820055493 is a deficient number, since it is larger than the sum of its proper divisors (402679995).

820055493 is a wasteful number, since it uses less digits than its factorization.

820055493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939304 (or 2939301 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 820055493 is about 28636.6110599701. The cubic root of 820055493 is about 936.0112760257.

The spelling of 820055493 in words is "eight hundred twenty million, fifty-five thousand, four hundred ninety-three".