975
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 1736
- Proper Divisor Sum (Aliquot Sum)
- 761
- 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
- 480
- Möbius Function
- 0
- Radical
- 195
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 142
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- neunhundertfünfundsiebzig· ordinal: neunhundertfünfundsiebzigste
- English
- nine hundred seventy-five· ordinal: nine hundred seventy-fifth
- Spanish
- novecientos setenta y cinco· ordinal: 975º
- French
- neuf cent soixante-quinze· ordinal: neuf cent soixante-quinzième
- Italian
- novecentosettantacinque· ordinal: 975º
- Latin
- nongenti septuaginta quinque· ordinal: 975.
- Portuguese
- novecentos e setenta e cinco· ordinal: 975º
Appears in sequences
- Number of bipartite partitions of n white objects and 5 black ones.at n=7A000491
- Number of twin prime pairs < square of n-th prime.at n=58A000885
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=37A000969
- Double-bitters: only even length runs in binary expansion.at n=27A001196
- Numbers k such that phi(k) = phi(k+1).at n=9A001274
- Number of bipartite partitions of n white objects and 7 black ones.at n=5A002756
- Numbers k such that the multiplicative group of residues prime to k, M_k, is isomorphic to M_{k+1}.at n=5A003276
- Numbers that are the sum of 7 positive 5th powers.at n=26A003352
- Number of restricted 3 X 3 matrices with row and column sums n.at n=23A005045
- P-positions in Epstein's Put or Take a Square game.at n=31A005240
- Least number which is side of n Pythagorean triples.at n=28A006593
- Coordination sequence T5 for Zeolite Code MEL.at n=20A008154
- Coordination sequence T2 for Zeolite Code MFI.at n=20A008165
- Coordination sequence T1 for Zeolite Code NES.at n=20A008205
- Multiples of 25.at n=39A008607
- Coordination sequence T3 for Zeolite Code VET.at n=19A009904
- a(n) = floor(binomial(n,3)/3).at n=27A011849
- a(n) = floor(n*(n-1)*(n-2)/16).at n=26A011898
- sech(arcsinh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-15/4!*x^4+60/5!*x^5...at n=6A012595
- a(1)=1, a(n) = 5*a(n-1) + n.at n=4A014827