Properties of the Number 1089

One Thousand Eighty-Nine

Basics

Value: 1088 → 1089 → 1090

Parity: odd

Prime: No

Previous Prime: 1087

Next Prime: 1091

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 ²

Divisors: 1, 3, 9, 11, 33, 99, 121, 363, 1089

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001000001

Octal: 2101

Duodecimal: 769

Hexadecimal: 441

Square: 1185921

Square Root: 33

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

The squares: a(n) = n². A290

Perfect powers: m^k where m > 0 and k >= 2. A1597

Moser-de Bruijn sequence: sums of distinct powers of 4. A695

Odd squares: a(n) = (2n+1)². Also centered octagonal numbers. A16754

Product of divisors of n. A7955

Powerful numbers (A001694) that are not prime powers (A000961). A286708

9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7·n-5)/2. A1106

Perfect powers of nonprimes (m^k where m is a nonprime positive integer and k >= 2). A131605

Squarefree numbers squared. A62503

a(n) = n * ∏_{primes p∣n} p. A64549