9361 has 8 divisors (see below), whose sum is σ = 10944. Its totient is φ = 7920.

The previous prime is 9349. The next prime is 9371. The reversal of 9361 is 1639.

9361 = 24² + 25² + ... + 34².

It is the 40-th star number.

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

It is not a de Polignac number, because 9361 - 2⁹ = 8849 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (9311) 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 in 7 ways as a sum of consecutive naturals, for example, 235 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (1368).

2⁹³⁶¹ is an apocalyptic number.

It is an amenable number.

9361 is a deficient number, since it is larger than the sum of its proper divisors (1583).

9361 is a wasteful number, since it uses less digits than its factorization.

9361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71.

The product of its digits is 162, while the sum is 19.

The square root of 9361 is about 96.7522609555. The cubic root of 9361 is about 21.0753153526.

It can be divided in two parts, 9 and 361, that multiplied together give a square (3249 = 57²).

The spelling of 9361 in words is "nine thousand, three hundred sixty-one".