16987 has 2 divisors, whose sum is σ = 16988. Its totient is φ = 16986.

The previous prime is 16981. The next prime is 16993. The reversal of 16987 is 78961.

It is a balanced prime because it is at equal distance from previous prime (16981) and next prime (16993).

It is a cyclic number.

It is not a de Polignac number, because 16987 - 2³ = 16979 is a prime.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16987.

It is not a weakly prime, because it can be changed into another prime (16981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8493 + 8494.

It is an arithmetic number, because the mean of its divisors is an integer number (8494).

16987 is a deficient number, since it is larger than the sum of its proper divisors (1).

16987 is an equidigital number, since it uses as much as digits as its factorization.

16987 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 31.

The square root of 16987 is about 130.3341858455. The cubic root of 16987 is about 25.7062599880.

It can be divided in two parts, 169 and 87, that added together give a 8-th power (256 = 2⁸).

The spelling of 16987 in words is "sixteen thousand, nine hundred eighty-seven".