9506 has 12 divisors (see below), whose sum is σ = 16758. Its totient is φ = 4032.

The previous prime is 9497. The next prime is 9511. The reversal of 9506 is 6059.

It can be written as a sum of positive squares in only one way, i.e., 8281 + 1225 = 91^2 + 35^2 .

It is a Curzon number.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50 + ... + 146.

2⁹⁵⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 97×98.

9506 is a deficient number, since it is larger than the sum of its proper divisors (7252).

9506 is a wasteful number, since it uses less digits than its factorization.

9506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 9506 is about 97.4987179403. The cubic root of 9506 is about 21.1835757446.

It can be divided in two parts, 9 and 506, that multiplied together give a palindrome (4554).

The spelling of 9506 in words is "nine thousand, five hundred six".