As far as existing functions go, summary() is a quick way to get various descriptive statistics such as mean, median and min/max values (which can be used for determining outliers) for variables in your dataset. 
Taking the example of iris dataset:
>summary(iris)
    Sepal.Length    Sepal.Width     Petal.Length    Petal.Width          Species  
    Min.   :4.300   Min.   :2.000   Min.   :1.000   Min.   :0.100   setosa    :50  
    1st Qu.:5.100   1st Qu.:2.800   1st Qu.:1.600   1st Qu.:0.300   versicolor:50  
    Median :5.800   Median :3.000   Median :4.350   Median :1.300   virginica :50  
    Mean   :5.843   Mean   :3.057   Mean   :3.758   Mean   :1.199                  
    3rd Qu.:6.400   3rd Qu.:3.300   3rd Qu.:5.100   3rd Qu.:1.800                  
    Max.   :7.900   Max.   :4.400   Max.   :6.900   Max.   :2.500
As for the mode, you'll have to write your own function - you can find some guidance here at Tutorials Point.
One last point, I'd take Sotos's advice, it's really beneficial for yourself and other Stack users.
Thanks!