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8327 = 11757
BaseRepresentation
bin10000010000111
3102102102
42002013
5231302
6102315
733164
oct20207
912372
108327
116290
12499b
133a37
14306b
152702
hex2087

8327 has 4 divisors (see below), whose sum is σ = 9096. Its totient is φ = 7560.

The previous prime is 8317. The next prime is 8329. The reversal of 8327 is 7238.

8327 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 8327 - 24 = 8311 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 8299 and 8308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8329) 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 3 ways as a sum of consecutive naturals, for example, 368 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (2274).

8327 is a deficient number, since it is larger than the sum of its proper divisors (769).

8327 is a wasteful number, since it uses less digits than its factorization.

8327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768.

The product of its digits is 336, while the sum is 20.

The square root of 8327 is about 91.2523972288. The cubic root of 8327 is about 20.2688692685.

Subtracting from 8327 its reverse (7238), we obtain a square (1089 = 332).

The spelling of 8327 in words is "eight thousand, three hundred twenty-seven".

Divisors: 1 11 757 8327