37

This number is a prime.

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If a multidigit number (4 or more digits)is taken in groups of three (from the least significant group) and these are summed (repeatedly, if necessary) to produce a three-digit number which is divisible by 37, then the original number is also divisible by 37. [Fellows]

If three digits in arithmetic sequence are reversed and the two numbers added the result is divisible by 37. [Fellows]

If a three-digit number is divisible by 37, then the number formed by moving the first digit to the last place or the last digit to the first place is also divisible by 37. [Fellows]