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BaseRepresentation
bin100100001101
310011211
4210031
533232
614421
76520
oct4415
93154
102317
111817
121411
131093
14bb7
15a47
hex90d

2317 has 4 divisors (see below), whose sum is σ = 2656. Its totient is φ = 1980.

The previous prime is 2311. The next prime is 2333. The reversal of 2317 is 7132.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2317 - 23 = 2309 is a prime.

It is a Duffinian number.

2317 is a lucky number.

It is a nialpdrome in base 7 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 2297 and 2306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311) 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, 159 + ... + 172.

It is an arithmetic number, because the mean of its divisors is an integer number (664).

22317 is an apocalyptic number.

It is an amenable number.

2317 is a deficient number, since it is larger than the sum of its proper divisors (339).

2317 is an equidigital number, since it uses as much as digits as its factorization.

2317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338.

The product of its digits is 42, while the sum is 13.

The square root of 2317 is about 48.1352261862. The cubic root of 2317 is about 13.2325033089.

Subtracting from 2317 its sum of digits (13), we obtain a square (2304 = 482).

Adding to 2317 its reverse (7132), we get a palindrome (9449).

The spelling of 2317 in words is "two thousand, three hundred seventeen", and thus it is an iban number.

Divisors: 1 7 331 2317