16633 has 2 divisors, whose sum is σ = 16634. Its totient is φ = 16632.

The previous prime is 16631. The next prime is 16649. The reversal of 16633 is 33661.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11449 + 5184 = 107^2 + 72^2 .

It is a cyclic number.

It is not a de Polignac number, because 16633 - 2¹ = 16631 is a prime.

Together with 16631, it forms a pair of twin primes.

It is a plaindrome in base 15.

It is a nialpdrome in base 7 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 16633.

It is not a weakly prime, because it can be changed into another prime (16631) 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, 8316 + 8317.

It is an arithmetic number, because the mean of its divisors is an integer number (8317).

2¹⁶⁶³³ is an apocalyptic number.

It is an amenable number.

16633 is a deficient number, since it is larger than the sum of its proper divisors (1).

16633 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 7 representation: 16633 = (66331)₇.

16633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 19.

The square root of 16633 is about 128.9689885205. The cubic root of 16633 is about 25.5264367630.

The spelling of 16633 in words is "sixteen thousand, six hundred thirty-three".