16963 has 2 divisors, whose sum is σ = 16964. Its totient is φ = 16962.

The previous prime is 16943. The next prime is 16979. The reversal of 16963 is 36961.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 16963 - 2⁵ = 16931 is a prime.

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

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (16903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8481 + 8482.

It is an arithmetic number, because the mean of its divisors is an integer number (8482).

2¹⁶⁹⁶³ is an apocalyptic number.

16963 is a deficient number, since it is larger than the sum of its proper divisors (1).

16963 is an equidigital number, since it uses as much as digits as its factorization.

16963 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 25.

The square root of 16963 is about 130.2420822929. The cubic root of 16963 is about 25.6941479608.

It can be divided in two parts, 169 and 63, that added together give a palindrome (232).

The spelling of 16963 in words is "sixteen thousand, nine hundred sixty-three".