9605 has 8 divisors (see below), whose sum is σ = 12312. Its totient is φ = 7168.

The previous prime is 9601. The next prime is 9613. The reversal of 9605 is 5069.

It is a Cunningham number, because it is equal to 98²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 196 + 9409 = 14^2 + 97^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(9605) divides (9605-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 9605 - 2² = 9601 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 6 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29 + ... + 141.

It is an arithmetic number, because the mean of its divisors is an integer number (1539).

2⁹⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

9605 is a deficient number, since it is larger than the sum of its proper divisors (2707).

9605 is a wasteful number, since it uses less digits than its factorization.

9605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135.

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

The square root of 9605 is about 98.0051019080. The cubic root of 9605 is about 21.2568605299.

It can be divided in two parts, 9 and 605, that multiplied together give a palindrome (5445).

The spelling of 9605 in words is "nine thousand, six hundred five".