873909 has 10 divisors (see below), whose sum is σ = 1305590. Its totient is φ = 582552.

The previous prime is 873877. The next prime is 873913. The reversal of 873909 is 909378.

It can be written as a sum of positive squares in only one way, i.e., 731025 + 142884 = 855^2 + 378^2 .

It is not a de Polignac number, because 873909 - 2⁵ = 873877 is a prime.

It is a Duffinian number.

873909 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 873909.

It is not an unprimeable number, because it can be changed into a prime (873959) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5314 + ... + 5475.

It is an arithmetic number, because the mean of its divisors is an integer number (130559).

2⁸⁷³⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

873909 is a deficient number, since it is larger than the sum of its proper divisors (431681).

873909 is a wasteful number, since it uses less digits than its factorization.

873909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10801 (or 10792 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 873909 is about 934.8310007697. The cubic root of 873909 is about 95.6067900734.

The spelling of 873909 in words is "eight hundred seventy-three thousand, nine hundred nine".