No zeros occur in this puzzle.

**Across**:

**A**: the digit sum of A across equals E across plus the product of E across's digits.

**C**: a palindrome.

**E**: a palindrome and prime number.

**G**: G across divided by M down is a cubic number.

**H**: a prime number.

**I**: this prime number equals the sum of J down and C down.

**K**: a palindrome.

**L**: L across divided by J down is a square number.

**N**: F down divided by N across is a palindrome.

**O**: this palindrome is a multiple of E across.

**Down**:

**B**: a palindrome.

**C**: divide G down by G across and calculate the square root of the result, and you get a divisor of C down.

**D**: a multiple of E across.

**E**: I across + F down.

**F**: a cubic number.

**G**: a multiple of G across.

**J**: C down - 1.

**M**: the product of the digits of M down equals A across.