873205 has 8 divisors (see below), whose sum is σ = 1109592. Its totient is φ = 657408.

The previous prime is 873157. The next prime is 873209. The reversal of 873205 is 502378.

It can be written as a sum of positive squares in 4 ways, for example, as 88209 + 784996 = 297^2 + 886^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 873205 - 2¹⁹ = 348917 is a prime.

It is a Duffinian number.

873205 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 873205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5052 + ... + 5221.

It is an arithmetic number, because the mean of its divisors is an integer number (138699).

2⁸⁷³²⁰⁵ is an apocalyptic number.

873205 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

873205 is a deficient number, since it is larger than the sum of its proper divisors (236387).

873205 is a wasteful number, since it uses less digits than its factorization.

873205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10295.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 873205 is about 934.4543862597. The cubic root of 873205 is about 95.5811103356.

The spelling of 873205 in words is "eight hundred seventy-three thousand, two hundred five".