953
domain: N
Properties
Digital Properties
- Digit Count
- 3
- 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
- 954
- 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
- 952
- Möbius Function
- -1
- Radical
- 953
- 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
- 28
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 162
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- neunhundertdreiundfünfzig· ordinal: neunhundertdreiundfünfzigste
- English
- nine hundred fifty-three· ordinal: nine hundred fifty-third
- Spanish
- novecientos cincuenta y tres· ordinal: 953º
- French
- neuf cent cinquante-trois· ordinal: neuf cent cinquante-troisième
- Italian
- novecentocinquantatre· ordinal: 953º
- Latin
- nongenti quinquaginta tres· ordinal: 953.
- Portuguese
- novecentos e cinquenta e três· ordinal: 953º
Appears in sequences
- Numbers that are not the sum of 4 tetrahedral numbers.at n=45A000797
- Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} (A000367) is divisible by p.at n=62A000928
- Primes with 3 as smallest primitive root.at n=38A001123
- Numbers k such that 19*2^k - 1 is prime.at n=19A001775
- Full reptend primes: primes with primitive root 10.at n=56A001913
- Number of simple imperfect squared rectangles of order n up to symmetry.at n=15A002881
- Schur's 1926 partition theorem: number of partitions of n into parts 6n+1 or 6n-1.at n=59A003105
- Numbers that are the sum of 10 positive 5th powers.at n=37A003355
- Numbers that are a sum of distinct positive cubes in more than one way.at n=34A003998
- Numbers divisible only by primes congruent to 1 mod 7.at n=28A004619
- Numbers divisible only by primes congruent to 1 mod 8.at n=38A004625
- Sophie Germain primes p: 2p+1 is also prime.at n=36A005384
- Emirps (primes whose reversal is a different prime).at n=31A006567
- Primes with both 10 and -10 as primitive root.at n=28A007349
- Primes of form x^3 + y^3 + z^3 where x,y,z > 0.at n=29A007490
- Primes whose reversal in base 10 is also prime (called "palindromic primes" by David Wells, although that name usually refers to A002385). Also called reversible primes.at n=51A007500
- Primes of form 8n+1, that is, primes congruent to 1 mod 8.at n=35A007519
- Coordination sequence T1 for Zeolite Code AWW.at n=22A008045
- Expansion of 1/((1-x)*(1-x^3)*(1-x^5)*(1-x^7)*(1-x^9)).at n=56A008674
- Expansion of (1+x^9)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=40A008770