Number of the day: 3954

Properties of the number 3954:

3954 = 2 × 3 × 659 is a sphenic number and squarefree.
3954 has 3 distinct prime factors, 8 divisors, 5 antidivisors and 1316 totatives.
3954 has a semiprime digit sum 21 in base 10.
3954 has a Fibonacci digit sum 21 in base 10.
3954 has a triangular digit sum 21 in base 10.
Reversing the decimal digits of 3954 results in a semiprime.
3954 is the sum of 2 positive triangular numbers.
3954 is the difference of 2 positive pentagonal numbers in 2 ways.
3954 = 8² + 13² + 61² is the sum of 3 positive squares.
3954² is the sum of 3 positive squares.
3954 is a proper divisor of 1319² - 1.
3954 = '395' + '4' is the concatenation of 2 semiprime numbers.
3954 is palindromic in (at least) the following bases: 18, 38, 59, -28, -52, and -67.
3954 in base 18 = c3c and consists of only the digits '3' and 'c'.
3954 in base 37 = 2WW and consists of only the digits '2' and 'W'.
3954 in base 38 = 2S2 and consists of only the digits '2' and 'S'.
3954 in base 58 = 1AA and consists of only the digits '1' and 'A'.
3954 in base 59 = 181 and consists of only the digits '1' and '8'.
3954 in base 62 = 11m and consists of only the digits '1' and 'm'.

The number 3954 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A050414: Numbers n such that 2^n - 3 is prime.
A075649: Right side of the triangle A075652.
A090801: List of distinct numbers appearing as denominators of Bernoulli numbers.
A097030: Numbers in the cycle-attractors of length=14 if the function f(x)=A063919(x) is iterated; f(x) is the sum of unitary proper divisors.
A208945: T(n,k) = number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero with no three beads in a row equal.
A227360: G.f.: 1/(1 - x*(1-x^3)/(1 - x^2*(1-x^4)/(1 - x^3*(1-x^5)/(1 - x^4*(1-x^6)/(1 - ...))))), a continued fraction.
A248549: Numbers n such that the smallest prime divisor of n^2+1 is 61.
A252433: T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7
A275190: Positions of 5 in A274640.
A280473: G.f.: Product_{i>=1, j>=1, k>=1} (1 + x^(i*j*k)).