827655361 has 9 divisors (see below), whose sum is σ = 896623689. Its totient is φ = 763644336.

The previous prime is 827655359. The next prime is 827655407. The reversal of 827655361 is 163556728.

The square root of 827655361 is 28769.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 76895361 + 750760000 = 8769^2 + 27400^2 .

It is not a de Polignac number, because 827655361 - 2¹ = 827655359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (867655361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 372891 + ... + 375103.

Almost surely, 2^827655361 is an apocalyptic number.

827655361 is the 28769-th square number.

827655361 is the 14385-th centered octagonal number.

It is an amenable number.

827655361 is a deficient number, since it is larger than the sum of its proper divisors (68968328).

827655361 is an frugal number, since it uses more digits than its factorization.

827655361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 2226 counting only the distinct ones).

The product of its digits is 302400, while the sum is 43.

The cubic root of 827655361 is about 938.8938856626.

The spelling of 827655361 in words is "eight hundred twenty-seven million, six hundred fifty-five thousand, three hundred sixty-one".