667
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 720
- Proper Divisor Sum (Aliquot Sum)
- 53
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 616
- Möbius Function
- 1
- Radical
- 667
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 144
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- sechshundertsiebenundsechzig· ordinal: sechshundertsiebenundsechzigste
- English
- six hundred sixty-seven· ordinal: six hundred sixty-seventh
- Spanish
- seiscientos sesenta y siete· ordinal: 667º
- French
- six cent soixante-sept· ordinal: six cent soixante-septième
- Italian
- seicentosessantasette· ordinal: 667º
- Latin
- sescenti sexaginta septem· ordinal: 667.
- Portuguese
- seiscentos e sessenta e sete· ordinal: 667º
Appears in sequences
- Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts.at n=36A000124
- Number of asymmetric trees with n nodes (also called identity trees).at n=15A000220
- Numbers that are not the sum of 4 tetrahedral numbers.at n=37A000797
- Numbers of the form (p^2 - 49)/120 where p is prime.at n=29A002382
- Odd squarefree numbers with an even number of prime factors that have no prime factors greater than 31.at n=43A002557
- Arrays of dumbbells.at n=5A002941
- a(n) = floor(n*phi^7), where phi is the golden ratio, A001622.at n=23A004922
- Atkinson-Negro-Santoro sequence: a(n+1) = 2*a(n) - a(n-floor(n/2+1)).at n=11A005255
- Products of 2 successive primes.at n=8A006094
- Minimum diameter of an integral set of n points in the plane, not all on a line.at n=35A007285
- 7th-order maximal independent sets in path graph.at n=42A007381
- Coordination sequence T1 for Zeolite Code AEL.at n=17A008004
- Coordination sequence T3 for Zeolite Code AEL.at n=17A008006
- Composite but smallest prime factor >= 17.at n=11A008367
- Multiples of 23.at n=29A008605
- Expansion of (1+2*x^5+x^9)/((1-x)^2*(1-x^9)).at n=54A008825
- a(n) = n*nextprime(n).at n=23A013636
- n*prevprime(n).at n=26A013637
- a(n) = prevprime(n)*nextprime(n).at n=22A013638
- a(n) = prevprime(n)*nextprime(n).at n=21A013638