6653 has 2 divisors, whose sum is σ = 6654. Its totient is φ = 6652.

The previous prime is 6637. The next prime is 6659. The reversal of 6653 is 3566.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3844 + 2809 = 62^2 + 53^2 .

6653 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 6653 - 2⁴ = 6637 is a prime.

It is equal to p₈₅₇ and since 6653 and 857 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6659) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3326 + 3327.

It is an arithmetic number, because the mean of its divisors is an integer number (3327).

2⁶⁶⁵³ is an apocalyptic number.

It is an amenable number.

6653 is a deficient number, since it is larger than the sum of its proper divisors (1).

6653 is an equidigital number, since it uses as much as digits as its factorization.

6653 is an evil number, because the sum of its binary digits is even.

The product of its digits is 540, while the sum is 20.

The square root of 6653 is about 81.5659242576. The cubic root of 6653 is about 18.8078509536.

The spelling of 6653 in words is "six thousand, six hundred fifty-three".