617000009 has 2 divisors, whose sum is σ = 617000010. Its totient is φ = 617000008.

The previous prime is 616999997. The next prime is 617000039. The reversal of 617000009 is 900000716.

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., 616777225 + 222784 = 24835^2 + 472^2 .

It is a cyclic number.

It is not a de Polignac number, because 617000009 - 2²⁴ = 600222793 is a prime.

It is a super-2 number, since 2×617000009² = 761378022212000162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (617000039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 308500004 + 308500005.

It is an arithmetic number, because the mean of its divisors is an integer number (308500005).

Almost surely, 2^617000009 is an apocalyptic number.

It is an amenable number.

617000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

617000009 is an equidigital number, since it uses as much as digits as its factorization.

617000009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 617000009 is about 24839.4848779116. The cubic root of 617000009 is about 851.3243525755.

The spelling of 617000009 in words is "six hundred seventeen million, nine", and thus it is an aban number.