820339173 has 24 divisors (see below), whose sum is σ = 1222527488. Its totient is φ = 529677792.

The previous prime is 820339151. The next prime is 820339181. The reversal of 820339173 is 371933028.

It is a happy number.

820339173 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 820339173 - 2²⁵ = 786784741 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820339103) 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, 68736 + ... + 79782.

Almost surely, 2^820339173 is an apocalyptic number.

It is an amenable number.

820339173 is a deficient number, since it is larger than the sum of its proper divisors (402188315).

820339173 is a wasteful number, since it uses less digits than its factorization.

820339173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11313 (or 11310 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 820339173 is about 28641.5637317518. The cubic root of 820339173 is about 936.1191943593.

The spelling of 820339173 in words is "eight hundred twenty million, three hundred thirty-nine thousand, one hundred seventy-three".