800173 has 12 divisors (see below), whose sum is σ = 933660. Its totient is φ = 682880.

The previous prime is 800171. The next prime is 800209. The reversal of 800173 is 371008.

It can be written as a sum of positive squares in 2 ways, for example, as 407044 + 393129 = 638^2 + 627^2 .

It is not a de Polignac number, because 800173 - 2¹ = 800171 is a prime.

It is a super-3 number, since 3×800173³ = 1536996695504333151, which contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 800173.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1863 + ... + 2251.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

2⁸⁰⁰¹⁷³ is an apocalyptic number.

It is an amenable number.

800173 is a deficient number, since it is larger than the sum of its proper divisors (133487).

800173 is a wasteful number, since it uses less digits than its factorization.

800173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 800173 is about 894.5238957121. The cubic root of 800173 is about 92.8384678139.

The spelling of 800173 in words is "eight hundred thousand, one hundred seventy-three".