188210961 has 27 divisors (see below), whose sum is σ = 289870321. Its totient is φ = 117654144.

The previous prime is 188210959. The next prime is 188210977. The reversal of 188210961 is 169012881.

The square root of 188210961 is 13719.

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 9828225 + 178382736 = 3135^2 + 13356^2 .

It is not a de Polignac number, because 188210961 - 2¹ = 188210959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (188210161) 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, 699535 + ... + 699803.

Almost surely, 2^188210961 is an apocalyptic number.

188210961 is the 13719-th square number.

188210961 is the 6860-th centered octagonal number.

It is an amenable number.

188210961 is a deficient number, since it is larger than the sum of its proper divisors (101659360).

188210961 is an equidigital number, since it uses as much as digits as its factorization.

188210961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The cubic root of 188210961 is about 573.0796285634.

Multiplying 188210961 by its sum of digits (36), we get a square (6775594596 = 82314²).

The spelling of 188210961 in words is "one hundred eighty-eight million, two hundred ten thousand, nine hundred sixty-one".