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6317 is a prime number
BaseRepresentation
bin1100010101101
322122222
41202231
5200232
645125
724263
oct14255
98588
106317
114823
1237a5
132b4c
142433
151d12

6317 has 2 divisors, whose sum is σ = 6318. Its totient is φ = 6316.

The previous prime is 6311. The next prime is 6323. The reversal of 6317 is 7136.

It is a balanced prime because it is at equal distance from previous prime (6311) and next prime (6323).

It can be written as a sum of positive squares in only one way, i.e., 5476 + 841 = 74^2 + 29^2 .

6317 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 6317 - 24 = 6301 is a prime.

It is a Chen prime.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 6295 and 6304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3158 + 3159.

It is an arithmetic number, because the mean of its divisors is an integer number (3159).

26317 is an apocalyptic number.

It is an amenable number.

6317 is a deficient number, since it is larger than the sum of its proper divisors (1).

6317 is an equidigital number, since it uses as much as digits as its factorization.

6317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 17.

The square root of 6317 is about 79.4795571201. The cubic root of 6317 is about 18.4857450451.

It can be divided in two parts, 6 and 317, that added together give a palindrome (323).

The spelling of 6317 in words is "six thousand, three hundred seventeen".