87009 has 16 divisors (see below), whose sum is σ = 131712. Its totient is φ = 50688.

The previous prime is 86993. The next prime is 87011. The reversal of 87009 is 90078.

It is not a de Polignac number, because 87009 - 2⁴ = 86993 is a prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 87009.

It is not an unprimeable number, because it can be changed into a prime (87049) 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, 849 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (8232).

2⁸⁷⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

87009 is a deficient number, since it is larger than the sum of its proper divisors (44703).

87009 is a wasteful number, since it uses less digits than its factorization.

87009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 87009 is about 294.9728801093. The cubic root of 87009 is about 44.3120041117.

The spelling of 87009 in words is "eighty-seven thousand, nine".