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9331 = 73143
BaseRepresentation
bin10010001110011
3110210121
42101303
5244311
6111111
736130
oct22163
913717
109331
117013
125497
13432a
143587
152b71
hex2473

9331 has 8 divisors (see below), whose sum is σ = 11264. Its totient is φ = 7560.

The previous prime is 9323. The next prime is 9337. The reversal of 9331 is 1339.

9331 = 192 + 202 + ... + 322.

It is a happy number.

9331 is nontrivially palindromic in base 6.

9331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 9331 - 23 = 9323 is a prime.

It is a super-2 number, since 2×93312 = 174135122, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (81) is a multiple of the sum of its prime divisors (81).

9331 is a lucky number.

9331 is a nontrivial repdigit in base 6.

It is a plaindrome in base 6.

It is a nialpdrome in base 6 and base 10.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (9337) by changing a digit.

It is a nontrivial repunit in base 6.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196 + ... + 238.

It is an arithmetic number, because the mean of its divisors is an integer number (1408).

9331 is a deficient number, since it is larger than the sum of its proper divisors (1933).

9331 is a wasteful number, since it uses less digits than its factorization.

9331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81.

The product of its digits is 81, while the sum is 16.

The square root of 9331 is about 96.5971014058. The cubic root of 9331 is about 21.0527773016.

The spelling of 9331 in words is "nine thousand, three hundred thirty-one".

Divisors: 1 7 31 43 217 301 1333 9331