Number of the day: 12962

Sofia Kovalevskaya was born on this day 167 years ago.

Properties of the number 12962:

12962 = 2 × 6481 is semiprime and squarefree.
12962 has 2 distinct prime factors, 4 divisors, 13 antidivisors and 6480 totatives.
12962 has an oblong digit sum 20 in base 10.
Reversing the decimal digits of 12962 results in a prime.
12962 = 71² + 89² is the sum of 2 positive squares in 1 way.
12962 = 7² + 12² + 113² is the sum of 3 positive squares.
12962² = 2880² + 12638² is the sum of 2 positive squares in 1 way.
12962² is the sum of 3 positive squares.
12962 is a divisor of 601¹⁰ - 1.
12962 = '129' + '62' is the concatenation of 2 emirpimes.
12962 is an emirpimes in (at least) the following bases: 2, 6, 8, 13, 18, 23, 27, 29, 30, 31, 36, 41, 42, 43, 47, 50, 51, 55, 58, 60, 61, 62, 66, 71, 77, 78, 82, 85, 86, 87, 88, 95, 96, and 98.
12962 is palindromic in (at least) the following bases: 72, 80, -62, -81, -90, and -96.

The number 12962 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005901: Number of points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n^2 + 2. Also coordination sequence for f.c.c. or A_3 or D_3 lattice.
A010022: a(0) = 1, a(n) = 40*n^2 + 2 for n>0.
A099792: Positions of records for terms in the continued fraction of the Glaisher-Kinkelin constant A.
A107317: Semiprimes of the form 2*(m^2 + m + 1) (implying that m^2 + m + 1 is a prime).
A139485: a(1)=1. For m>=0 and 1<=k<=2^m, a(2^m +k) = a(k) + sum{j=1 to 2^m) a(j).
A212074: Beach-Williams Pell numbers of type 2p (p prime).
A213359: Sum of all parts that are not the smallest part (counted with multiplicity) of all partitions of n.
A230831: T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero
A238728: Number of standard Young tableaux with n cells where the largest value n is contained in the last row.
A239729: Number of partitions p of n such that if h = min(p), then h is an (h,2)-separator of p; see Comments.