966163527 has 72 divisors (see below), whose sum is σ = 1677386880. Its totient is φ = 534068640.

The previous prime is 966163519. The next prime is 966163571. The reversal of 966163527 is 725361669.

966163527 is a `hidden beast` number, since 9 + 6 + 6 + 1 + 635 + 2 + 7 = 666.

It is not a de Polignac number, because 966163527 - 2³ = 966163519 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966163327) 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 71 ways as a sum of consecutive naturals, for example, 1847088 + ... + 1847610.

It is an arithmetic number, because the mean of its divisors is an integer number (23297040).

Almost surely, 2^966163527 is an apocalyptic number.

966163527 is a deficient number, since it is larger than the sum of its proper divisors (711223353).

966163527 is a wasteful number, since it uses less digits than its factorization.

966163527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 663 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 966163527 is about 31083.1711220075. The cubic root of 966163527 is about 988.5915171367.

The spelling of 966163527 in words is "nine hundred sixty-six million, one hundred sixty-three thousand, five hundred twenty-seven".