9427827409 has 81 divisors (see below), whose sum is σ = 13189279761. Its totient is φ = 6711344640.

The previous prime is 9427827407. The next prime is 9427827427. The reversal of 9427827409 is 9047287249.

The square root of 9427827409 is 97097.

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

9427827409 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 4 ways, for example, as 1722499009 + 7705328400 = 41503^2 + 87780^2 .

It is not a de Polignac number, because 9427827409 - 2¹ = 9427827407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9427827407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 97194049 + ... + 97194145.

Almost surely, 2^9427827409 is an apocalyptic number.

9427827409 is the 97097-th square number.

9427827409 is the 48549-th centered octagonal number.

It is an amenable number.

9427827409 is a deficient number, since it is larger than the sum of its proper divisors (3761452352).

9427827409 is a wasteful number, since it uses less digits than its factorization.

9427827409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The cubic root of 9427827409 is about 2112.5348128385.

The spelling of 9427827409 in words is "nine billion, four hundred twenty-seven million, eight hundred twenty-seven thousand, four hundred nine".