9505 has 4 divisors (see below), whose sum is σ = 11412. Its totient is φ = 7600.

The previous prime is 9497. The next prime is 9511. The reversal of 9505 is 5059.

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 1936 + 7569 = 44^2 + 87^2 .

It is not a de Polignac number, because 9505 - 2³ = 9497 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 13.

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 3 ways as a sum of consecutive naturals, for example, 946 + ... + 955.

It is an arithmetic number, because the mean of its divisors is an integer number (2853).

2⁹⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

9505 is a deficient number, since it is larger than the sum of its proper divisors (1907).

9505 is a wasteful number, since it uses less digits than its factorization.

9505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906.

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 9505 is about 97.4935895329. The cubic root of 9505 is about 21.1828329043.

Adding to 9505 its product of nonzero digits (225), we get a triangular number (9730 = T₁₃₉).

The spelling of 9505 in words is "nine thousand, five hundred five".