800634617 has 2 divisors, whose sum is σ = 800634618. Its totient is φ = 800634616.

The previous prime is 800634599. The next prime is 800634619. The reversal of 800634617 is 716436008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 784224016 + 16410601 = 28004^2 + 4051^2 .

It is a cyclic number.

It is not a de Polignac number, because 800634617 - 2⁸ = 800634361 is a prime.

It is a super-5 number, since 5×800634617⁵ (a number of 46 digits) contains 55555 as substring.

Together with 800634619, 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 (800634619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400317308 + 400317309.

It is an arithmetic number, because the mean of its divisors is an integer number (400317309).

Almost surely, 2^800634617 is an apocalyptic number.

It is an amenable number.

800634617 is a deficient number, since it is larger than the sum of its proper divisors (1).

800634617 is an equidigital number, since it uses as much as digits as its factorization.

800634617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 800634617 is about 28295.4875731096. The cubic root of 800634617 is about 928.5631711083.

The spelling of 800634617 in words is "eight hundred million, six hundred thirty-four thousand, six hundred seventeen".