653 has 2 divisors, whose sum is σ = 654. Its totient is φ = 652.

The previous prime is 647. The next prime is 659. The reversal of 653 is 356.

It is a happy number.

653 is nontrivially palindromic in base 13.

653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (647) and next prime (659).

It can be written as a sum of positive squares in only one way, i.e., 484 + 169 = 22^2 + 13^2 .

653 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 653 - 2⁸ = 397 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

653 is an undulating number in base 13.

It is a Curzon number.

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 10 and base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (659) 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, 326 + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (327).

It is an amenable number.

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

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

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

The product of its digits is 90, while the sum is 14.

The square root of 653 is about 25.5538646784. The cubic root of 653 is about 8.6756973586.

The spelling of 653 in words is "six hundred fifty-three", and thus it is an aban number and an oban number.