## 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 = 71

^{2}+ 89

^{2}is the sum of 2 positive squares in 1 way.

12962 = 7

^{2}+ 12

^{2}+ 113

^{2}is the sum of 3 positive squares.

12962

^{2}= 2880

^{2}+ 12638

^{2}is the sum of 2 positive squares in 1 way.

12962

^{2}is the sum of 3 positive squares.

12962 is a divisor of 601

^{10}- 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.

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