827950865173 has 16 divisors (see below), whose sum is σ = 885026142000. Its totient is φ = 771811172352.

The previous prime is 827950865167. The next prime is 827950865197. The reversal of 827950865173 is 371568059728.

827950865173 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 228715410564 + 599235454609 = 478242^2 + 774103^2 .

It is a cyclic number.

It is not a de Polignac number, because 827950865173 - 2¹⁷ = 827950734101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827950865473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4974973 + ... + 5138701.

It is an arithmetic number, because the mean of its divisors is an integer number (55314133875).

Almost surely, 2^827950865173 is an apocalyptic number.

It is an amenable number.

827950865173 is a deficient number, since it is larger than the sum of its proper divisors (57075276827).

827950865173 is a wasteful number, since it uses less digits than its factorization.

827950865173 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166584.

The product of its (nonzero) digits is 25401600, while the sum is 61.

The spelling of 827950865173 in words is "eight hundred twenty-seven billion, nine hundred fifty million, eight hundred sixty-five thousand, one hundred seventy-three".