Search a number
-
+
1327 is a prime number
BaseRepresentation
bin10100101111
31211011
4110233
520302
610051
73604
oct2457
91734
101327
11aa7
12927
137b1
146ab
155d7
hex52f

1327 has 2 divisors, whose sum is σ = 1328. Its totient is φ = 1326.

The previous prime is 1321. The next prime is 1361. The reversal of 1327 is 7231.

1327 is nontrivially palindromic in base 5.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1327 - 23 = 1319 is a prime.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 1327 parts by 51 straight cuts.

It is a plaindrome in base 8 and base 14.

It is a nialpdrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1321) 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, 663 + 664.

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

1327 is a deficient number, since it is larger than the sum of its proper divisors (1).

1327 is an equidigital number, since it uses as much as digits as its factorization.

1327 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1327 is about 36.4280112002. The cubic root of 1327 is about 10.9889696592.

Adding to 1327 its product of digits (42), we get a square (1369 = 372).

Adding to 1327 its reverse (7231), we get a palindrome (8558).

It can be divided in two parts, 13 and 27, that multiplied together give a triangular number (351 = T26).

The spelling of 1327 in words is "one thousand, three hundred twenty-seven", and thus it is an iban number.