4097727 has 12 divisors (see below), whose sum is σ = 6020040. Its totient is φ = 2685168.

The previous prime is 4097707. The next prime is 4097741. The reversal of 4097727 is 7277904.

It is not a de Polignac number, because 4097727 - 2¹⁶ = 4032191 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4097691 and 4097700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3328 + ... + 4389.

It is an arithmetic number, because the mean of its divisors is an integer number (501670).

Almost surely, 2^4097727 is an apocalyptic number.

4097727 is a deficient number, since it is larger than the sum of its proper divisors (1922313).

4097727 is a wasteful number, since it uses less digits than its factorization.

4097727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7782 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 4097727 is about 2024.2843179751. The cubic root of 4097727 is about 160.0224838195.

The spelling of 4097727 in words is "four million, ninety-seven thousand, seven hundred twenty-seven".