628616617 has 2 divisors, whose sum is σ = 628616618. Its totient is φ = 628616616.

The previous prime is 628616591. The next prime is 628616663. The reversal of 628616617 is 716616826.

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., 445041216 + 183575401 = 21096^2 + 13549^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-628616617 is a prime.

It is equal to p_32738992 and since 628616617 and 32738992 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (628616687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 314308308 + 314308309.

It is an arithmetic number, because the mean of its divisors is an integer number (314308309).

Almost surely, 2^628616617 is an apocalyptic number.

It is an amenable number.

628616617 is a deficient number, since it is larger than the sum of its proper divisors (1).

628616617 is an equidigital number, since it uses as much as digits as its factorization.

628616617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 145152, while the sum is 43.

The square root of 628616617 is about 25072.2280023136. The cubic root of 628616617 is about 856.6339566880.

The spelling of 628616617 in words is "six hundred twenty-eight million, six hundred sixteen thousand, six hundred seventeen".