Search a number
-
+
8123 is a prime number
BaseRepresentation
bin1111110111011
3102010212
41332323
5224443
6101335
732453
oct17673
912125
108123
116115
12484b
13390b
142d63
152618
hex1fbb

8123 has 2 divisors, whose sum is σ = 8124. Its totient is φ = 8122.

The previous prime is 8117. The next prime is 8147. The reversal of 8123 is 3218.

It can be divided in two parts, 8 and 123, that added together give a palindrome (131).

8123 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 8123 - 26 = 8059 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 8098 and 8107.

It is not a weakly prime, because it can be changed into another prime (8423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4061 + 4062.

It is an arithmetic number, because the mean of its divisors is an integer number (4062).

28123 is an apocalyptic number.

8123 is a deficient number, since it is larger than the sum of its proper divisors (1).

8123 is an equidigital number, since it uses as much as digits as its factorization.

8123 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 14.

The square root of 8123 is about 90.1276871999. The cubic root of 8123 is about 20.1019791291.

The spelling of 8123 in words is "eight thousand, one hundred twenty-three".