4165681 has 9 divisors (see below), whose sum is σ = 4539681. Its totient is φ = 3820752.

The previous prime is 4165661. The next prime is 4165699. The reversal of 4165681 is 1865614.

The square root of 4165681 is 2041.

It is a perfect power (a square), and thus also a powerful number.

4165681 is nontrivially palindromic in base 12.

4165681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1343281 + 2822400 = 1159^2 + 1680^2 .

It is not a de Polignac number, because 4165681 - 2⁹ = 4165169 is a prime.

It is a super-2 number, since 2×4165681² = 34705796387522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4165621) 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 in 8 ways as a sum of consecutive naturals, for example, 26455 + ... + 26611.

It is an arithmetic number, because the mean of its divisors is an integer number (504409).

Almost surely, 2^4165681 is an apocalyptic number.

4165681 is the 2041-st square number.

4165681 is the 1021-st centered octagonal number.

It is an amenable number.

4165681 is a deficient number, since it is larger than the sum of its proper divisors (374000).

4165681 is an equidigital number, since it uses as much as digits as its factorization.

4165681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The cubic root of 4165681 is about 160.9022077576.

The spelling of 4165681 in words is "four million, one hundred sixty-five thousand, six hundred eighty-one".