ACROSS
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All digits are odd and all are different.
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The sum of the digits is half the cube root of 3 down.
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A prime number.
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This number is three times the sum of its digits.
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This number reversed is the square of an even number.
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Is the same number when reversed and is divisible by 9.
DOWN
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First three digits are the first three digits of 4 down rearranged.
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A prime number.
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A perfect cube.
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Each digit is greater than the preceding one.
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A multiple of 8 across.
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The sum of the digits is the square of a perfect square.
(Note: There are no zeros in any cells.)