Properties of the Number 1327

One Thousand Three Hundred Twenty-Seven

Basics

Value: 1326 → 1327 → 1328

Parity: odd

Prime: Yes

Previous Prime: 1321

Next Prime: 1361

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 1327

Divisors: 1, 1327

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100101111

Octal: 2457

Duodecimal: 927

Hexadecimal: 52f

Square: 1760929

Square Root: 36.42801120017397

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts. A124

Primes (lower end) with record gaps to the next consecutive prime: primes p(k) where p(k+1) - p(k) exceeds p(j+1) - p(j) for all j < k. A2386

a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists. A230

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,2,3}. A79955

Primes such that their decimal representations interpreted in base 11 are also prime. A91924

Primes of the form 7x²+4xy+52y². A140633

Primes whose decimal representation is a valid number in base 8 and interpreted as such is again a prime. A235394

Primes whose decimal representation is a valid number in base 9 and interpreted as such is again a prime. A235395

Primes of the form x²+Ny², with N=102. A139643

Primes that divide at least one term in every Fibonacci sequence. A57