**ACROSS**:

**A**: square of C down.

**G**: the third power of the sum of A across's digits.

**H**: divisible by the sum of G across's digits.

**I**: divisible by digit sum of C down.

**J**: I across + digit sum of I across.

**K**: a square number.

**L**: the reverse of M down.

**M**: I across multiplied with the digit sum of H across.

**N**: every digit (except for the last one) is smaller than the subsequent digit.

**DOWN**:

**A**: the reverse of C down multiplied with E down.

**B**: a palindrome.

**C**: a prime number.

**D**: the reverse of D down equals A across + F down.

**E**: the digit sum of A across.

**F**: the third power of the reverse of E down.

**K**: a prime number.

**L**: yet another prime number.

**M**: the reverse of L across.