367
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 368
- 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
- 366
- Möbius Function
- -1
- Radical
- 367
- 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
- 45
- 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
- 73
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- dreihundertsiebenundsechzig· ordinal: dreihundertsiebenundsechzigste
- English
- three hundred sixty-seven· ordinal: three hundred sixty-seventh
- Spanish
- trescientos sesenta y siete· ordinal: 367º
- French
- trois cent soixante-sept· ordinal: trois cent soixante-septième
- Italian
- trecentosessantasette· ordinal: 367º
- Latin
- trecenti sexaginta septem· ordinal: 367.
- Portuguese
- trezentos e sessenta e sete· ordinal: 367º
Appears in sequences
- Primes that divide at least one term in every Fibonacci sequence.at n=14A000057
- Number of trees of diameter 4.at n=18A000094
- Number of trees of diameter 6.at n=6A000251
- Primes p of the form 3k+1 such that -sqrt(p) < sum_{x=1..p} cos(2*Pi*x^3/p) < sqrt(p).at n=9A000922
- Primes with 6 as smallest primitive root.at n=6A001125
- Primes == +-1 (mod 8).at n=33A001132
- Perrin sequence (or Perrin numbers, or Ondrej Such sequence): a(n) = a(n-2) + a(n-3) with a(0) = 3, a(1) = 0, a(2) = 2.at n=21A001608
- Tetranacci numbers A073817 without the leading term 4.at n=8A001648
- Expansion of 1/((1+x)*(1-x)^9).at n=4A001780
- Numbers k such that phi(2k+1) < phi(2k).at n=2A001837
- Full reptend primes: primes with primitive root 10.at n=25A001913
- Prime determinants of forms with class number 2.at n=34A002052
- Primes of the form 4*k + 3.at n=37A002145
- Numerators of coefficients for numerical integration.at n=2A002197
- Primitive roots that go with the primes in A029932.at n=20A002231
- Primes of the form 6m + 1.at n=33A002476
- Numbers k such that (k^2 + 1)/10 is prime.at n=35A002733
- Number of alternating prime knots with n crossings.at n=10A002864
- Number of basic invariants for cyclic group of order and degree n.at n=11A002956
- Self numbers or Colombian numbers (numbers that are not of the form m + sum of digits of m for any m).at n=39A003052