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8723 = 111361
BaseRepresentation
bin10001000010011
3102222002
42020103
5234343
6104215
734301
oct21023
912862
108723
116610
12506b
133c80
143271
1528b8
hex2213

8723 has 8 divisors (see below), whose sum is σ = 10416. Its totient is φ = 7200.

The previous prime is 8719. The next prime is 8731. The reversal of 8723 is 3278.

8723 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

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

It is a cyclic number.

It is not a de Polignac number, because 8723 - 22 = 8719 is a prime.

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

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 8695 and 8704.

It is not an unprimeable number, because it can be changed into a prime (8713) 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, 113 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (1302).

8723 is a deficient number, since it is larger than the sum of its proper divisors (1693).

8723 is a wasteful number, since it uses less digits than its factorization.

8723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85.

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

The square root of 8723 is about 93.3970020932. The cubic root of 8723 is about 20.5852094793.

Subtracting from 8723 its reverse (3278), we obtain a palindrome (5445).

The spelling of 8723 in words is "eight thousand, seven hundred twenty-three".

Divisors: 1 11 13 61 143 671 793 8723