17827
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17828
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 17826
- Möbius Function
- -1
- Radical
- 17827
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- 2044
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form k^2 + k + 5.at n=35A027755
- Upper prime of a difference of 20 between consecutive primes.at n=34A031939
- Discriminants of imaginary quadratic fields with class number 17 (negated).at n=31A046014
- a(1) = 2; a(n) = smallest prime > a(n-1) such that the sum of any three nondecreasing terms, chosen from a(1), ..., a(n-1) and a(n), is unique.at n=18A060276
- Primes with 2 representations: p*q*r - 1 = u*v*w + 1 where p, q, r, u, v and w are primes.at n=40A063644
- Primes p such that 6p + 1 and (p-1)/6 are primes.at n=30A085957
- Primes p such that the sum of the digits of p is not prime, but the sum of the squares of the digits of p is prime.at n=35A091362
- Primes congruent to 9 mod 59.at n=37A142736
- Primes congruent to 15 mod 61.at n=35A142813
- Primes of the form 2n^2+18n+7, n>=0.at n=10A154592
- Primes p such that p+p^2+p^3-+2 are also prime.at n=30A154821
- Number of nondecreasing arrangements of 6 numbers x(i) in -(n+4)..(n+4) with the sum of sign(x(i))*2^|x(i)| zero.at n=36A187990
- Number of partitions of n into lower Wythoff numbers (A000201).at n=55A192184
- Largest prime factors of zerofull restricted pandigital numbers A050278.at n=27A204532
- a(n) = prime(k-1) with k = n^2 + prime(n)^2.at n=13A243893
- Initial prime of 4 primes in arithmetic progression with difference 12.at n=38A248085
- Indices of primes in the 10th-order Fibonacci number sequence, A127194.at n=34A257073
- a(n) is the largest number such that every subsequence of digits of the number written in base n is prime.at n=29A282509
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 461", based on the 5-celled von Neumann neighborhood.at n=30A288433
- Primes p whose last digit is the same as that of both its predecessor prime and its successor prime.at n=13A298075