4102721 has 12 divisors (see below), whose sum is σ = 4825620. Its totient is φ = 3477600.

The previous prime is 4102711. The next prime is 4102723. The reversal of 4102721 is 1272014.

4102721 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 2 ways, for example, as 3312400 + 790321 = 1820^2 + 889^2 .

It is not a de Polignac number, because 4102721 - 2¹⁴ = 4086337 is a prime.

It is a super-3 number, since 3×4102721³ (a number of 21 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4102721.

It is not an unprimeable number, because it can be changed into a prime (4102723) 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 11 ways as a sum of consecutive naturals, for example, 4535 + ... + 5363.

It is an arithmetic number, because the mean of its divisors is an integer number (402135).

Almost surely, 2^4102721 is an apocalyptic number.

It is an amenable number.

4102721 is a deficient number, since it is larger than the sum of its proper divisors (722899).

4102721 is a wasteful number, since it uses less digits than its factorization.

4102721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 4102721 is about 2025.5174647482. The cubic root of 4102721 is about 160.0874651986.

Adding to 4102721 its reverse (1272014), we get a palindrome (5374735).

The spelling of 4102721 in words is "four million, one hundred two thousand, seven hundred twenty-one".