827107641 has 6 divisors (see below), whose sum is σ = 1194711050. Its totient is φ = 551405088.

The previous prime is 827107609. The next prime is 827107663. The reversal of 827107641 is 146701728.

827107641 is a `hidden beast` number, since 8 + 2 + 7 + 1 + 0 + 7 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 819104400 + 8003241 = 28620^2 + 2829^2 .

It is not a de Polignac number, because 827107641 - 2⁵ = 827107609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 827107596 and 827107605.

It is not an unprimeable number, because it can be changed into a prime (827107741) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45950416 + ... + 45950433.

Almost surely, 2^827107641 is an apocalyptic number.

It is an amenable number.

827107641 is a deficient number, since it is larger than the sum of its proper divisors (367603409).

827107641 is a wasteful number, since it uses less digits than its factorization.

827107641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91900855 (or 91900852 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 827107641 is about 28759.4791503601. The cubic root of 827107641 is about 938.6867284069.

The spelling of 827107641 in words is "eight hundred twenty-seven million, one hundred seven thousand, six hundred forty-one".