9261 has 16 divisors (see below), whose sum is σ = 16000. Its totient is φ = 5292.

The previous prime is 9257. The next prime is 9277. The reversal of 9261 is 1629.

It can be divided in two parts, 92 and 61, that added together give a triangular number (153 = T_{17}).

The cubic root of 9261 is 21.

It is a perfect power (a cube), and thus also a powerful number.

It is not a de Polignac number, because 9261 - 2^{2} = 9257 is a prime.

It is a super-2 number, since 2×9261^{2} = 171532242, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 9261.

It is not an unprimeable number, because it can be changed into a prime (9221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320 + ... + 1326.

It is an arithmetic number, because the mean of its divisors is an integer number (1000).

9261 is a Friedman number, since it can be written as 21^(9-6), using all its digits and the basic arithmetic operations.

It is an amenable number.

9261 is a deficient number, since it is larger than the sum of its proper divisors (6739).

9261 is an equidigital number, since it uses as much as digits as its factorization.

9261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 10 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 9261 is about 96.2340895941.

The spelling of 9261 in words is "nine thousand, two hundred sixty-one".

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