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Numbers which factor as their digital sum times a prime. (English) Zbl 1305.11007
Summary: A natural number $$n$$ is Niven when $$n$$ is divisible by its digital sum, denoted by $$S(n)$$.
We study Niven numbers which come in the form $$n = S(n) \times p$$, for some prime number $$p$$. Two constructions of such numbers are given, with suggestions for further studies and conjectures to solve.
##### MSC:
 11A63 Radix representation; digital problems 11A41 Primes
##### Keywords:
digital sums; Niven numbers
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