This number is a prime.
The smallest 5-digit prime abcde with distinct digits such that a^a+b^b+c^c+d^d+e^e, is prime, i.e., 1^1+2^2+3^3+4^4+7^7=823831. Note that the sum of squares and the sum of cubes of its digits are also primes. [Loungrides]
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