873705 has 32 divisors (see below), whose sum is σ = 1638144. Its totient is φ = 389376.

The previous prime is 873689. The next prime is 873707. The reversal of 873705 is 507378.

It is not a de Polignac number, because 873705 - 2⁴ = 873689 is a prime.

873705 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (873707) 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 31 ways as a sum of consecutive naturals, for example, 5487 + ... + 5643.

It is an arithmetic number, because the mean of its divisors is an integer number (51192).

2⁸⁷³⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

873705 is a deficient number, since it is larger than the sum of its proper divisors (764439).

873705 is a wasteful number, since it uses less digits than its factorization.

873705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 873705 is about 934.7218837708. The cubic root of 873705 is about 95.5993502054.

The spelling of 873705 in words is "eight hundred seventy-three thousand, seven hundred five".