37

This number is a prime.

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Sum of 37 primes, starting with 37 of every 37th prime, is prime. [Wiszowaty]

The sum of the first four primes (2+3+5+7) plus the sum of the first four numbers of every possible prime made of at least two digits (1+3+7+9) equals 37. Note that the primes 3 and 7 are present in both groups. [Wiszowaty]

Sum of all cubed odd prime numbers from 3 to 37, plus sum of all squared composite numbers from 3 to 37, plus 1, equals to a prime number 145653, 13477th prime. [Wiszowaty]