9025
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 9
- Divisor Sum
- 11811
- Proper Divisor Sum (Aliquot Sum)
- 2786
- 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
- 6840
- Möbius Function
- 0
- Radical
- 95
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- yes
- 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
- 47
- Smith Number
- no
- Vampire 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Squares formed by concatenating other squares, not ending in 0.at n=12A009404
- Squares of odd hexagonal pyramidal numbers.at n=2A014801
- a(n) = (2*n - 13)*n^2.at n=19A015246
- Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers.at n=47A016754
- a(n) = (3n+2)^2.at n=32A016790
- a(n) = (4n + 3)^2.at n=23A016838
- a(n) = (5*n)^2.at n=19A016850
- a(n) = (6*n + 5)^2.at n=15A016970
- a(n) = (7*n + 4)^2.at n=13A017030
- a(n) = (8*n + 7)^2.at n=11A017150
- a(n) = (9*n + 5)^2.at n=10A017222
- a(n) = (10*n + 5)^2.at n=9A017330
- a(n) = (11*n + 7)^2.at n=8A017474
- a(n) = (12*n + 11)^2.at n=7A017654
- Numbers k that are the sum of m nonzero squares for all 1 <= m <= k - 14.at n=34A018820
- Squares which are a decimal concatenation of two or more squares.at n=21A019547
- Squares k^2 in which the digits of k appear.at n=16A029773
- Numbers with 9 divisors.at n=31A030627
- Numbers k such that 53*2^k+1 is prime.at n=15A032376
- Squares that remain a square if a suitably chosen digit is dropped.at n=38A034377