617617967 has 2 divisors, whose sum is σ = 617617968. Its totient is φ = 617617966.

The previous prime is 617617927. The next prime is 617617969. The reversal of 617617967 is 769716716.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 617617967 - 2²² = 613423663 is a prime.

It is a super-2 number, since 2×617617967² = 762903906322426178, which contains 22 as substring.

Together with 617617969, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (617617969) 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, 308808983 + 308808984.

It is an arithmetic number, because the mean of its divisors is an integer number (308808984).

Almost surely, 2^617617967 is an apocalyptic number.

617617967 is a deficient number, since it is larger than the sum of its proper divisors (1).

617617967 is an equidigital number, since it uses as much as digits as its factorization.

617617967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 666792, while the sum is 50.

The square root of 617617967 is about 24851.9207909570. The cubic root of 617617967 is about 851.6084731325.

The spelling of 617617967 in words is "six hundred seventeen million, six hundred seventeen thousand, nine hundred sixty-seven".