656333161 has 27 divisors (see below), whose sum is σ = 771991717. Its totient is φ = 557469440.

The previous prime is 656333113. The next prime is 656333189. The reversal of 656333161 is 161333656.

The square root of 656333161 is 25619.

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 91795561 + 564537600 = 9581^2 + 23760^2 .

It is not a de Polignac number, because 656333161 - 2¹¹ = 656331113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (656333101) 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 26 ways as a sum of consecutive naturals, for example, 4790685 + ... + 4790821.

Almost surely, 2^656333161 is an apocalyptic number.

656333161 is the 25619-th square number.

656333161 is the 12810-th centered octagonal number.

It is an amenable number.

656333161 is a deficient number, since it is larger than the sum of its proper divisors (115658556).

656333161 is a wasteful number, since it uses less digits than its factorization.

656333161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 165 counting only the distinct ones).

The product of its digits is 29160, while the sum is 34.

The cubic root of 656333161 is about 869.0433669540.

The spelling of 656333161 in words is "six hundred fifty-six million, three hundred thirty-three thousand, one hundred sixty-one".