9601 has 2 divisors, whose sum is σ = 9602. Its totient is φ = 9600.

The previous prime is 9587. The next prime is 9613. The reversal of 9601 is 1069.

It can be divided in two parts, 960 and 1, that added together give a square (961 = 31^{2}).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9025 + 576 = 95^2 + 24^2 .

It is an emirp because it is prime and its reverse (1069) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9601 - 2^{7} = 9473 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9631) by changing a digit.

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 as a sum of consecutive naturals, namely, 4800 + 4801.

It is an arithmetic number, because the mean of its divisors is an integer number (4801).

It is a Proth number, since it is equal to 75 ⋅ 2^{7} + 1 and 75 < 2^{7}.

2^{9601} is an apocalyptic number.

It is an amenable number.

9601 is a deficient number, since it is larger than the sum of its proper divisors (1).

9601 is an equidigital number, since it uses as much as digits as its factorization.

9601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 9601 is about 97.9846926821. The cubic root of 9601 is about 21.2539093154.

The spelling of 9601 in words is "nine thousand, six hundred one".

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