Properties of the Number 45821

Forty-Five Thousand Eight Hundred Twenty-One

Basics

Value: 45820 → 45821 → 45822

Parity: odd

Prime: Yes

Previous Prime: 45817

Next Prime: 45823

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 45821

Divisors: 1, 45821

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001011111101

Octal: 131375

Duodecimal: 22625

Hexadecimal: b2fd

Square: 2099564041

Square Root: 214.05840324546944

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

Numbers k such that (9^k - 5^k)/4 is prime. A128346

Primes p such that the polynomial x² + x + p generates only primes for x = 0, ..., 4. A187057

Least prime in A001359 (lesser of twin primes) such that the distance (A053319) to the next twin is 6·n. A52350

Initial primes of 5 consecutive primes with consecutive gaps 2, 4, 6, 8. A190814

Prime numbers p such that x² + x + p produces primes for x = 0..4 but not x = 5. A210363

Conjectured lower bound for the number of spheres of radius 1 that can be packed in a sphere of radius n. A121346

First term of weak prime sextet: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3) < p(m+5)-p(m+4). A54828

Seventh prime p such that (p+n)²+n is prime but (p+j)²+j is not prime for all 0<j<n. A238679

Primes p for which p + 2, p³ + 2 and p⁵ + 2 are prime. A242326

Lesser of twin primes of (29n + 1, 29n + 3). A248620