873509 has 16 divisors (see below), whose sum is σ = 1115520. Its totient is φ = 665280.

The previous prime is 873497. The next prime is 873527. The reversal of 873509 is 905378.

It is not a de Polignac number, because 873509 - 2¹² = 869413 is a prime.

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 873509.

It is not an unprimeable number, because it can be changed into a prime (873529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2474 + ... + 2804.

It is an arithmetic number, because the mean of its divisors is an integer number (69720).

2⁸⁷³⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

873509 is a deficient number, since it is larger than the sum of its proper divisors (242011).

873509 is a wasteful number, since it uses less digits than its factorization.

873509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 873509 is about 934.6170338700. The cubic root of 873509 is about 95.5922010059.

The spelling of 873509 in words is "eight hundred seventy-three thousand, five hundred nine".