827144441 has 2 divisors, whose sum is σ = 827144442. Its totient is φ = 827144440.

The previous prime is 827144393. The next prime is 827144453. The reversal of 827144441 is 144441728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 778633216 + 48511225 = 27904^2 + 6965^2 .

It is a cyclic number.

It is not a de Polignac number, because 827144441 - 2¹⁰ = 827143417 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (827144471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413572220 + 413572221.

It is an arithmetic number, because the mean of its divisors is an integer number (413572221).

Almost surely, 2^827144441 is an apocalyptic number.

It is an amenable number.

827144441 is a deficient number, since it is larger than the sum of its proper divisors (1).

827144441 is an equidigital number, since it uses as much as digits as its factorization.

827144441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 28672, while the sum is 35.

The square root of 827144441 is about 28760.1189322993. The cubic root of 827144441 is about 938.7006496740.

The spelling of 827144441 in words is "eight hundred twenty-seven million, one hundred forty-four thousand, four hundred forty-one".