Properties of the Number 8821

Eight Thousand Eight Hundred Twenty-One

Basics

Value: 8820 → 8821 → 8822

Parity: odd

Prime: Yes

Previous Prime: 8819

Next Prime: 8831

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 8821

Divisors: 1, 8821

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001001110101

Octal: 21165

Duodecimal: 5131

Hexadecimal: 2275

Square: 77810041

Square Root: 93.92017887546851

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

Primes of the form 210n + 1. A73102

Balanced primes of order four. A82079

Primes of the form p(k)² + q(m)² with k > 0 and m > 0, where p(.) is the partition function (A000041), and q(.) is the strict partition function (A000009). A233346

Denominator of (1+σ(s)) / ((s+1)/2), where s is the square of n prime-shifted once (s = A003961(n)² = A003961(n²)). A337339

Magnanimous primes: primes with the property that inserting a "+" in any place between two digits yields a sum which is prime. A89392

Mother primes of order 10. A136069

Centered 14-gonal numbers. A69127

Largest n-digit member of A089392, or 0 if there is no such n-digit term. A89394

a(n) = n³ - n² + 1. A100104

Concentric 21-gonal numbers. A195049