8257681673 has 8 divisors (see below), whose sum is σ = 8291657928. Its totient is φ = 8223755904.

The previous prime is 8257681669. The next prime is 8257681693. The reversal of 8257681673 is 3761867528.

It can be written as a sum of positive squares in 4 ways, for example, as 3172280329 + 5085401344 = 56323^2 + 71312^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8257681673 - 2² = 8257681669 is a prime.

It is a super-2 number, since 2×8257681673² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8257681603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334565 + ... + 358397.

It is an arithmetic number, because the mean of its divisors is an integer number (1036457241).

Almost surely, 2^8257681673 is an apocalyptic number.

It is an amenable number.

8257681673 is a deficient number, since it is larger than the sum of its proper divisors (33976255).

8257681673 is a wasteful number, since it uses less digits than its factorization.

8257681673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25243.

The product of its digits is 3386880, while the sum is 53.

The square root of 8257681673 is about 90871.7870023474. The cubic root of 8257681673 is about 2021.2469568636.

The spelling of 8257681673 in words is "eight billion, two hundred fifty-seven million, six hundred eighty-one thousand, six hundred seventy-three".