Search a number
BaseRepresentation
bin10100100101
31210210
4110211
520232
610033
73561
oct2445
91723
101317
11a98
12919
137a4
146a1
155cc
hex525

1317 has 4 divisors (see below), whose sum is σ = 1760. Its totient is φ = 876.

The previous prime is 1307. The next prime is 1319. The reversal of 1317 is 7131.

Subtracting from 1317 its product of digits (21), we obtain a 4-th power (1296 = 64).

Adding to 1317 its reverse (7131), we get a palindrome (8448).

1317 is nontrivially palindromic in base 2, base 12 and base 16.

1317 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

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, and also an emirpimes, since its reverse is a distinct semiprime: 7131 = 32377.

It is not a de Polignac number, because 1317 - 24 = 1301 is a prime.

It is a D-number.

It is a Duffinian number.

1317 is an undulating number in base 12 and base 16.

It is a plaindrome in base 8 and base 15.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1319) 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, 217 + ... + 222.

It is an arithmetic number, because the mean of its divisors is an integer number (440).

It is an amenable number.

1317 is a deficient number, since it is larger than the sum of its proper divisors (443).

1317 is an equidigital number, since it uses as much as digits as its factorization.

1317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442.

The product of its digits is 21, while the sum is 12.

The square root of 1317 is about 36.2904946232. The cubic root of 1317 is about 10.9612964883.

The spelling of 1317 in words is "one thousand, three hundred seventeen", and thus it is an iban number.

Divisors: 1 3 439 1317