Properties of the Number 27225

Twenty-Seven Thousand Two Hundred Twenty-Five

Basics

Value: 27224 → 27225 → 27226

Parity: odd

Prime: No

Previous Prime: 27211

Next Prime: 27239

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 ² × 11 ²

Divisors: 1, 3, 5, 9, 11, 15, 25, 33, 45, 55

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101001011001

Octal: 65131

Duodecimal: 13909

Hexadecimal: 6a59

Square: 741200625

Square Root: 165

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

a(n) = (4·n + 1)². A16814

Squares of tetrahedral numbers: a(n) = binomial(n+3,n)². A1249

a(n) = (6·n+3)². A16946

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250853

Numbers that are the squares of the product of three distinct primes. A162143

a(n) = (5·n)². A16850

a(1)=4; if n = Product p_i^e_i, n > 1, then a(n) = Product p_i+1^e_i+1. A45967

Squares which are the arithmetic mean of two consecutive primes. A69495

Perfect squares which are neither the sum nor the difference of two primes. A106573

T(n,k)=Number of nXk 0..3 arrays with rows nondecreasing and antidiagonals unimodal. A224024