961

961 = 31². It is a perfect square.

961 is the largest square with strictly decreasing digits. It is also the largest prime power of a prime with strictly decreasing digits.

The digits of 961 can be rearranged to give two other squares: 169 = 13² and 196 = 14².

961 is 12321 in base 5 and 4241 in base 6.

961 beer is brewed in Beirut, Lebanon.

Source: Number Gossip

705

705 = 3 x 5 x 47.

705 is the smallest Lucas psuedoprime.

705 is a rhombic matchstick number: n(3n + 2) for n = 15.

705 is an odd interprime because it lies at the midpoint between two consecutive odd primes, 701 and 709.

The IBM 705 was one of the most powerful data processing systems available in the mid-1950s.

Source: On-Line Encyclopedia of Integer Sequences

208

208 = 2⁴ x 13.

208 has a representation as a sum of two squares: 208 = 8² + 12².

208 = 2⁸ - 48.

208 is a divisor of 25² - 1.

208 = 2² + 3² + 5² + 7² + 11².

208 is the telephone area code for the state of Idaho.

Source: Prime Curios!

3892

3892 = 2² x 7 x 139.

3892 has the representation 2⁴ x 3⁵ + 4.

3892 is a divisor of 43⁶ - 1.

3892 is 30004 in base 6 and 7464 in base 8.

The 3892nd triangular number contains only the digits 5, 7, and 8: 7575778.

The asteroid 3892 Dezsö was discovered in 1941.

Source: On-Line Encyclopedia of Integer Sequences

863

863 is a prime number.

863 is the largest three-digit prime that can be written as the sum of fifteen consecutive primes: 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 = 863.

863 is a number that cannot be written as a sum of three squares.

863 = (11 + 71) + (11 x 71), where 11, 71, and 863 are all primes.

863 is a value of n so that n(n + 6) is a palindrome: 863(869) = 749947.

863 is a telephone area code for central Florida.

Source: Prime Curios!

372

372 = 2² x 3 x 31.

372 has a unique representation as a sum of three squares: 372 = 4² + 10² + 16².

372 is a hexagonal pyramidal number, having the form n(n + 1)(4n - 1)/6 for n = 8.

372/(3 + 7 + 2) is a prime number, 31.

101,556 = 273 x 372 = 651 x 156.

NGC 372 is a triple star in the constellation Pisces.

Source: Prime Curios!

446

446 = 2 x 223.

446 is the smallest number that can be written as the sum of three distinct squares in eight different ways: 446 = 21² + 2² + 1² = 19² + 9² + 2² = 19² + 7² + 6² = 18² + 11² + 1² = 17² + 11² + 6² = 15² + 14² + 5² = 15² + 11² + 10² = 14² + 13² + 9².

446 is 676 in base 8 and 545 in base 9.

446 is a self number. A self number is an integer that cannot be generated by any other integer added to that other integer's digits.

446 Aeternitas is an asteroid discovered in 1899.

Source: What's Special About This Number?