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16947 = 327269

16947 has 12 divisors (see below), whose sum is σ = 28080. Its totient is φ = 9648.

The previous prime is 16943. The next prime is 16963. The reversal of 16947 is 74961.

It is not a de Polignac number, because 16947 - 22 = 16943 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

16947 is a lucky number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 16947.

It is not an unprimeable number, because it can be changed into a prime (16943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72 + ... + 197.

It is an arithmetic number, because the mean of its divisors is an integer number (2340).

216947 is an apocalyptic number.

16947 is a deficient number, since it is larger than the sum of its proper divisors (11133).

16947 is a wasteful number, since it uses less digits than its factorization.

16947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 279 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 16947 is about 130.1806437225. The cubic root of 16947 is about 25.6860669277.

It can be divided in two parts, 169 and 47, that added together give a cube (216 = 63).

The spelling of 16947 in words is "sixteen thousand, nine hundred forty-seven".

Divisors: 1 3 7 9 21 63 269 807 1883 2421 5649 16947