9509 has 4 divisors (see below), whose sum is σ = 9804. Its totient is φ = 9216.

The previous prime is 9497. The next prime is 9511. The reversal of 9509 is 9059.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9025 + 484 = 95^2 + 22^2 .

It is a cyclic number.

It is not a de Polignac number, because 9509 - 2¹² = 5413 is a prime.

It is an Ulam number.

It is a Duffinian number.

9509 is an undulating number in base 16.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9539) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (2451).

2⁹⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

9509 is a deficient number, since it is larger than the sum of its proper divisors (295).

9509 is a wasteful number, since it uses less digits than its factorization.

9509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294.

The product of its (nonzero) digits is 405, while the sum is 23.

The square root of 9509 is about 97.5141015443. The cubic root of 9509 is about 21.1858039528.

It can be divided in two parts, 950 and 9, that added together give a palindrome (959).

The spelling of 9509 in words is "nine thousand, five hundred nine".