4188161 has 2 divisors, whose sum is σ = 4188162. Its totient is φ = 4188160.

The previous prime is 4188133. The next prime is 4188187. The reversal of 4188161 is 1618814.

4188161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2640625 + 1547536 = 1625^2 + 1244^2 .

It is a cyclic number.

It is not a de Polignac number, because 4188161 - 2¹⁰ = 4187137 is a prime.

It is not a weakly prime, because it can be changed into another prime (4188101) 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 as a sum of consecutive naturals, namely, 2094080 + 2094081.

It is an arithmetic number, because the mean of its divisors is an integer number (2094081).

It is a Proth number, since it is equal to 2045 ⋅ 2¹¹ + 1 and 2045 < 2¹¹.

Almost surely, 2^4188161 is an apocalyptic number.

It is an amenable number.

4188161 is a deficient number, since it is larger than the sum of its proper divisors (1).

4188161 is an equidigital number, since it uses as much as digits as its factorization.

4188161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1536, while the sum is 29.

The square root of 4188161 is about 2046.4996946005. The cubic root of 4188161 is about 161.1911236690.

The spelling of 4188161 in words is "four million, one hundred eighty-eight thousand, one hundred sixty-one".