6553 has 2 divisors, whose sum is σ = 6554. Its totient is φ = 6552.

The previous prime is 6551. The next prime is 6563. The reversal of 6553 is 3556.

6553 is nontrivially palindromic in base 4.

6553 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5184 + 1369 = 72^2 + 37^2 .

It is a cyclic number.

It is not a de Polignac number, because 6553 - 2^{1} = 6551 is a prime.

Together with 6551, it forms a pair of twin primes.

6553 is an undulating number in base 4.

6553 is a lucky number.

It is equal to p_{847} and since 6553 and 847 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 16.

It is a nialpdrome in base 9 and base 10.

It is a self number, because there is not a number *n* which added to its sum of digits gives 6553.

It is not a weakly prime, because it can be changed into another prime (6551) 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, 3276 + 3277.

It is an arithmetic number, because the mean of its divisors is an integer number (3277).

2^{6553} is an apocalyptic number.

It is an amenable number.

6553 is a deficient number, since it is larger than the sum of its proper divisors (1).

6553 is an equidigital number, since it uses as much as digits as its factorization.

6553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 450, while the sum is 19.

The square root of 6553 is about 80.9506022214. The cubic root of 6553 is about 18.7131424099.

The spelling of 6553 in words is "six thousand, five hundred fifty-three".

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