#Python 3, 163 bytes

def f(x):
 def d(x):return[i for i in range(1,x+1) if x%i==0]
 return min(i for i in range(x) if sum(d(i)) >x),sum(d(min(i for i in range(x) if sum(d(i)) >x)))

Python 3, 163 bytes

def f(x):
 def d(x):return[i for i in range(1,x+1) if x%i==0]
 return min(i for i in range(x) if sum(d(i)) >x),sum(d(min(i for i in range(x) if sum(d(i)) >x)))

Python 3, 163 bytes

def f(x):
 def d(x):return[i for i in range(1,x+1) if x%i==0]
 return min(i for i in range(x) if sum(d(i)) >x),sum(d(min(i for i in range(x) if sum(d(i)) >x)))

#Python 3, 163 bytes

def f(x):
 def d(x):return[i for i in range(1,x+1) if x%i==0]
 return min(i for i in range(x) if sum(d(i)) >x),sum(d(min(i for i in range(x) if sum(d(i)) >x)))