827
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 828
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 826
- Möbius Function
- -1
- Radical
- 827
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 41
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 144
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- achthundertsiebenundzwanzig· ordinal: achthundertsiebenundzwanzigste
- English
- eight hundred twenty-seven· ordinal: eight hundred twenty-seventh
- Spanish
- ochocientos veintisiete· ordinal: 827º
- French
- huit cent vingt-sept· ordinal: huit cent vingt-septième
- Italian
- ottocentoventisette· ordinal: 827º
- Latin
- octingenti viginti septem· ordinal: 827.
- Portuguese
- oitocentos e vinte e sete· ordinal: 827º
Appears in sequences
- Primes that divide at least one term in every Fibonacci sequence.at n=31A000057
- Numbers beginning with letter 'e' in English.at n=40A000873
- Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} (A000367) is divisible by p.at n=56A000928
- Lesser of twin primes.at n=32A001359
- The partition function G(n,4).at n=7A001681
- Numbers k such that phi(k+2) = phi(k) + 2.at n=51A001838
- Cyclic numbers: 10 is a quadratic residue modulo p and class of mantissa is 2.at n=44A001914
- Numbers m such that 3*2^m - 1 is prime.at n=25A002235
- A generalized partition function.at n=11A002599
- Number of basic invariants for cyclic group of order and degree n.at n=12A002956
- Numerators of Van der Pol numbers.at n=14A003164
- Numbers that are the sum of 8 positive 5th powers.at n=27A003353
- Numbers divisible only by primes congruent to 1 mod 7.at n=24A004619
- Class 4- primes (for definition see A005109).at n=15A005112
- Number of asymmetric planar trees with n nodes.at n=11A005354
- Number of minimal 3-polyhedra with n edges.at n=14A006868
- Oscillates under partition transform.at n=32A007213
- Reversion of (1 + g.f. for primes).at n=6A007296
- Primes for which -10 is a primitive root.at n=55A007348
- Primes == 3 (mod 8).at n=38A007520