9161
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9162
- 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
- 9160
- Möbius Function
- -1
- Radical
- 9161
- 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
- 153
- Smith Number
- no
- Vampire 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
- 1136
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 79.at n=8A020418
- Primes with first digit 9.at n=33A045715
- Digitally balanced numbers in both bases 2 and 3.at n=31A049361
- Smallest prime p having n different cycles in decimal expansions of k/p, k=1..p-1.at n=39A054471
- Largest prime factor of 5^n + 1.at n=10A074478
- Largest prime factor of 5^n - 1.at n=19A074479
- Members of A083989 whose 10's complement is also a member of A083989.at n=18A083991
- n^2-79*n+1601 as n runs through the lucky numbers.at n=29A087867
- Ordered hypotenuses of primitive Pythagorean triangles having legs that add up to a square.at n=12A088319
- Write Euler's constant gamma as a binary fraction; read this from left to right and whenever a 1 appears, note the integer formed by reading leftwards from that 1.at n=6A099973
- Indices of primes in sequence defined by A(0) = 17, A(n) = 10*A(n-1) + 27 for n > 0.at n=16A102034
- Numbers k such that 10^k + 6*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=25A102940
- Primes p such that p+1, p+2 and p+3 have equal number of divisors.at n=13A119711
- Emirps with only nonprime digits (i.e., 0, 1, 4, 6, 8, 9).at n=21A128390
- Ceiling(4*Pi*n^2).at n=26A135971
- Primes of the form 24x^2+24xy+41y^2.at n=33A139995
- Primes of the form 14x^2+14xy+101y^2.at n=36A140021
- Primes of the form 33x^2+56y^2.at n=34A140040
- Primes congruent to 26 mod 29.at n=42A142002
- Primes congruent to 16 mod 31.at n=38A142020