2628617 has 2 divisors, whose sum is σ = 2628618. Its totient is φ = 2628616.

The previous prime is 2628607. The next prime is 2628649. The reversal of 2628617 is 7168262.

It is an a-pointer prime, because the next prime (2628649) can be obtained adding 2628617 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2611456 + 17161 = 1616^2 + 131^2 .

It is a cyclic number.

It is not a de Polignac number, because 2628617 - 2⁶ = 2628553 is a prime.

It is a super-3 number, since 3×2628617³ = 54488291611112883339, which contains 333 as substring.

It is equal to p₁₉₁₇₈₆ and since 2628617 and 191786 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 (2628607) 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, 1314308 + 1314309.

It is an arithmetic number, because the mean of its divisors is an integer number (1314309).

2^2628617 is an apocalyptic number.

It is an amenable number.

2628617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2628617 is an equidigital number, since it uses as much as digits as its factorization.

2628617 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 2628617 is about 1621.3010207855. The cubic root of 2628617 is about 138.0095386531.

The spelling of 2628617 in words is "two million, six hundred twenty-eight thousand, six hundred seventeen".