162 = 2 x 34.
162 is the only number with a prime factorization of the form n * (n + 1)(nn).
162 has a representation as a sum of two squares: 162 = 92 + 92.
162 is the smallest number with nine representations as a sum of four positive squares: 162 = 12 + 12 + 42 + 122 = 12 + 22 + 62 + 112 = 12 + 42 + 82 + 92 = 12 + 52 + 62 + 102 = 22 + 32 + 72 + 102 = 32 + 42 + 42 + 112 = 32 + 52 + 82 + 82 = 32 + 62 + 62 + 92 = 42 + 42 + 72 + 92.
162 is a divisor of 553 - 1.
162 is an abundant number.
The digit sum of 162 is 9; the digit sum of the square of 162 is 18, and the digit sum of the cube of 162 is 27.

Source: Prime Curios!
No comments:
Post a Comment