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17987 is a prime number
BaseRepresentation
bin100011001000011
3220200012
410121003
51033422
6215135
7103304
oct43103
926605
1017987
1112572
12a4ab
138258
1467ab
1554e2
hex4643

17987 has 2 divisors, whose sum is σ = 17988. Its totient is φ = 17986.

The previous prime is 17981. The next prime is 17989. The reversal of 17987 is 78971.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 17987 - 24 = 17971 is a prime.

Together with 17989, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 17987.

It is not a weakly prime, because it can be changed into another prime (17981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8993 + 8994.

It is an arithmetic number, because the mean of its divisors is an integer number (8994).

217987 is an apocalyptic number.

17987 is a deficient number, since it is larger than the sum of its proper divisors (1).

17987 is an equidigital number, since it uses as much as digits as its factorization.

17987 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3528, while the sum is 32.

The square root of 17987 is about 134.1156217597. The cubic root of 17987 is about 26.2011032304.

Subtracting from 17987 its sum of digits (32), we obtain a triangular number (17955 = T189).

The spelling of 17987 in words is "seventeen thousand, nine hundred eighty-seven".