648617 has 2 divisors, whose sum is σ = 648618. Its totient is φ = 648616.

The previous prime is 648607. The next prime is 648619. The reversal of 648617 is 716846.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 561001 + 87616 = 749^2 + 296^2 .

It is a cyclic number.

It is not a de Polignac number, because 648617 - 2¹⁰ = 647593 is a prime.

It is a super-3 number, since 3×648617³ = 818627323794903339, which contains 333 as substring.

Together with 648619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (648619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 324308 + 324309.

It is an arithmetic number, because the mean of its divisors is an integer number (324309).

2⁶⁴⁸⁶¹⁷ is an apocalyptic number.

It is an amenable number.

648617 is a deficient number, since it is larger than the sum of its proper divisors (1).

648617 is an equidigital number, since it uses as much as digits as its factorization.

648617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 32.

The square root of 648617 is about 805.3676179236. The cubic root of 648617 is about 86.5624305673.

The spelling of 648617 in words is "six hundred forty-eight thousand, six hundred seventeen".