16787 has 2 divisors, whose sum is σ = 16788. Its totient is φ = 16786.

The previous prime is 16763. The next prime is 16811. The reversal of 16787 is 78761.

It is a balanced prime because it is at equal distance from previous prime (16763) and next prime (16811).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-16787 is a prime.

It is a Chen prime.

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

It is a nialpdrome in base 7.

It is not a weakly prime, because it can be changed into another prime (16747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8393 + 8394.

It is an arithmetic number, because the mean of its divisors is an integer number (8394).

2¹⁶⁷⁸⁷ is an apocalyptic number.

16787 is a deficient number, since it is larger than the sum of its proper divisors (1).

16787 is an equidigital number, since it uses as much as digits as its factorization.

16787 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2352, while the sum is 29.

The square root of 16787 is about 129.5646556743. The cubic root of 16787 is about 25.6049754327.

The spelling of 16787 in words is "sixteen thousand, seven hundred eighty-seven".