Harshad
Divisible by the sum of its own digits.
A number divisible by the sum of its own digits, like 18 (1+8=9, 18÷9=2) or 21 (2+1=3, 21÷3=7). Also called a Niven number — "Harshad" comes from Sanskrit, meaning "joy-giver".
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Harshad numbers aren't rare at all: 95,428 of them in 0–1,000,000, about 9.54% — roughly one in ten. Shorter numbers qualify more easily (1 through 9 all count, since anything divides itself), and even six-digit numbers hold steady at 9.28%.
Intuitively digit sums should have nothing to do with divisibility, yet this trait is oddly common. The secret is mod-9 congruence: every number is congruent to its digit sum modulo 9, so whenever the digit sum is a multiple of 9, divisibility has already cleared the first hurdle. A mathematical coincidence, converted here into nearly free EP.
Trivia: the famous taxicab number 1729 (of Hardy–Ramanujan fame) is Harshad — 1+7+2+9=19 and 1729=19×91. Even legendary numbers pick up the basic points.