4164100331 has 2 divisors, whose sum is σ = 4164100332. Its totient is φ = 4164100330.

The previous prime is 4164100247. The next prime is 4164100337. The reversal of 4164100331 is 1330014614.

4164100331 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 is a cyclic number.

It is not a de Polignac number, because 4164100331 - 2¹⁸ = 4163838187 is a prime.

It is a super-2 number, since 2×4164100331² = 34679463133268619122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4164100297 and 4164100306.

It is not a weakly prime, because it can be changed into another prime (4164100337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2082050165 + 2082050166.

It is an arithmetic number, because the mean of its divisors is an integer number (2082050166).

Almost surely, 2^4164100331 is an apocalyptic number.

4164100331 is a deficient number, since it is larger than the sum of its proper divisors (1).

4164100331 is an equidigital number, since it uses as much as digits as its factorization.

4164100331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4164100331 is about 64529.8406243189. The cubic root of 4164100331 is about 1608.8185371799.

Adding to 4164100331 its reverse (1330014614), we get a palindrome (5494114945).

The spelling of 4164100331 in words is "four billion, one hundred sixty-four million, one hundred thousand, three hundred thirty-one".