### Properties of the number 9357:

9357 is a cyclic number.9357 = 3 × 3119 is semiprime and squarefree.

9357 has 2 distinct prime factors, 4 divisors, 9 antidivisors and 6236 totatives.

Reversing the decimal digits of 9357 results in a sphenic number.

9357 = 4679

^{2}- 4678

^{2}= 1561

^{2}- 1558

^{2}is the difference of 2 nonnegative squares in 2 ways.

9357 is the difference of 2 positive pentagonal numbers in 1 way.

9357 = 11

^{2}+ 20

^{2}+ 94

^{2}is the sum of 3 positive squares.

9357

^{2}is the sum of 3 positive squares.

9357 is a proper divisor of 13

^{1559}- 1.

9357 = '93' + '57' is the concatenation of 2 semiprime numbers.

9357 is an emirpimes in (at least) the following bases: 2, 3, 6, 9, 11, 22, 25, 27, 28, 32, 36, 42, 50, 51, 54, 55, 57, 59, 60, 67, 74, 78, 87, 89, 93, 97, 98, 99, and 100.

9357 is palindromic in (at least) base 47.

9357 in base 22 = j77 and consists of only the digits '7' and 'j'.

9357 in base 36 = 77x and consists of only the digits '7' and 'x'.

9357 in base 46 = 4JJ and consists of only the digits '4' and 'J'.

9357 in base 47 = 4B4 and consists of only the digits '4' and 'B'.

### The number 9357 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A050969: Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 20.

A076623: Total number of left truncatable primes (without zeros) in base n.

A114615: Starting numbers for which the RATS sequence has eventual period 14.

A138990: a(n) = Frobenius number for 4 successive primes = F[p(n),p(n+1),p(n+2),p(n+3)].

A142462: Triangle read by rows: T(n,k) (1<=k<=n) given by T(n, 1) = T(n,n) = 1, otherwise T(n, k) = (m*n-m*k+1)*T(n-1,k-1)+(m*k-m+1)*T(n-1,k), where m = 7.

A155121: 2*n*(1+n+n^2+n^3)-3.

A182708: a(n)=A046746(n)-A000041(n-1). Sum of the smallest parts of all partitions of n that do not contain 1 as a part.

A224956: Number of partitions of n where the difference between consecutive parts is at most 2.

A238553: Numbers n such that the decimal expansions of both n and n^2 have 3 as the digit with the smallest value and 9 as the digit with the largest value.

A262508: Numbers that occur only once in A155043; positions of zeros in A262505, ones in A262507.

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