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8147 is a prime number
BaseRepresentation
bin1111111010011
3102011202
41333103
5230042
6101415
732516
oct17723
912152
108147
116137
12486b
133929
142d7d
152632
hex1fd3

8147 has 2 divisors, whose sum is σ = 8148. Its totient is φ = 8146.

The previous prime is 8123. The next prime is 8161. The reversal of 8147 is 7418.

Subtracting from 8147 its reverse (7418), we obtain a 6-th power (729 = 36).

It can be divided in two parts, 81 and 47, that added together give a 7-th power (128 = 27).

It is a happy number.

8147 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8147 - 212 = 4051 is a prime.

It is a Chen prime.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8147.

It is not a weakly prime, because it can be changed into another prime (8117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4073 + 4074.

It is an arithmetic number, because the mean of its divisors is an integer number (4074).

28147 is an apocalyptic number.

8147 is a deficient number, since it is larger than the sum of its proper divisors (1).

8147 is an equidigital number, since it uses as much as digits as its factorization.

8147 is an evil number, because the sum of its binary digits is even.

The product of its digits is 224, while the sum is 20.

The square root of 8147 is about 90.2607334338. The cubic root of 8147 is about 20.1217572544.

The spelling of 8147 in words is "eight thousand, one hundred forty-seven".