977
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 978
- 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
- 976
- Möbius Function
- -1
- Radical
- 977
- 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
- 98
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 165
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- neunhundertsiebenundsiebzig· ordinal: neunhundertsiebenundsiebzigste
- English
- nine hundred seventy-seven· ordinal: nine hundred seventy-seventh
- Spanish
- novecientos setenta y siete· ordinal: 977º
- French
- neuf cent soixante-dix-sept· ordinal: neuf cent soixante-dix-septième
- Italian
- novecentosettantasette· ordinal: 977º
- Latin
- nongenti septuaginta septem· ordinal: 977.
- Portuguese
- novecentos e setenta e sete· ordinal: 977º
Appears in sequences
- Pentanacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5) with a(0) = a(1) = a(2) = a(3) = a(4) = 1.at n=13A000322
- Primes with 3 as smallest primitive root.at n=39A001123
- Number of cells of square lattice of edge 1/n inside quadrant of unit circle centered at 0.at n=35A001182
- a(n) is the solution to the postage stamp problem with n denominations and 3 stamps.at n=21A001213
- Full reptend primes: primes with primitive root 10.at n=58A001913
- a(2n) = a(2n-1) + 3a(2n-2), a(2n+1) = 2a(2n) + 3a(2n-1).at n=8A002537
- Smallest number that requires n iterations of the unitary totient function (A047994) to reach 1.at n=14A003271
- Numbers that are the sum of 9 positive 5th powers.at n=34A003354
- Divisible only by primes congruent to 4 mod 7.at n=28A004622
- Numbers divisible only by primes congruent to 1 mod 8.at n=39A004625
- Class 4+ primes (for definition see A005105).at n=14A005108
- Class 3- primes (for definition see A005109).at n=50A005111
- Odd numbers not of form p + 2^k (de Polignac numbers).at n=16A006285
- Numbers k such that k-6, k, and k+6 are primes.at n=27A006489
- Balanced primes (of order one): primes which are the average of the previous prime and the following prime.at n=14A006562
- Primes with both 10 and -10 as primitive root.at n=29A007349
- Primes of form 8n+1, that is, primes congruent to 1 mod 8.at n=36A007519
- Number of lattice points inside circle of radius n is 4(a(n)+n)-3.at n=35A007882
- Coordination sequence T1 for Zeolite Code NAT.at n=21A008203
- Coordination sequence T1 for Zeolite Code VFI.at n=24A008245