Properties of the Number 1667

One Thousand Six Hundred Sixty-Seven

Basics

Value: 1666 → 1667 → 1668

Parity: odd

Prime: Yes

Previous Prime: 1663

Next Prime: 1669

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 1667

Divisors: 1, 1667

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010000011

Octal: 3203

Duodecimal: B6B

Hexadecimal: 683

Square: 2778889

Square Root: 40.82891132518721

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 whose base-2 representation is also the base-3 representation of a prime. A235266

Number of partitions of n such that no part is a sum of two other parts. A236912

Number of subsets of {1..n} containing some element equal to the sum of two or more distinct other elements. A variation of sum-full subsets without re-used elements. A364534

Coordination sequence for "hal" 3D uniform tiling. A299274

Primes that become a different prime under the mapping 7 <=> 9. A180559

Primes that are the sum of three consecutive primes. A34962

Primes or negative values of primes in the sequence b(n) = 47·n² - 1701·n + 10181, n >= 0. A50267

Number of integer partitions of n such that the greatest part is the unique mode. A362612

Primes of the form 30n - 13. A39949

Primes which are the sum of a prime and its subscript. A61068