4097741 has 2 divisors, whose sum is σ = 4097742. Its totient is φ = 4097740.

The previous prime is 4097707. The next prime is 4097767. The reversal of 4097741 is 1477904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3960100 + 137641 = 1990^2 + 371^2 .

It is a cyclic number.

It is not a de Polignac number, because 4097741 - 2¹⁰ = 4096717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4097698 and 4097707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4097441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2048870 + 2048871.

It is an arithmetic number, because the mean of its divisors is an integer number (2048871).

Almost surely, 2^4097741 is an apocalyptic number.

It is an amenable number.

4097741 is a deficient number, since it is larger than the sum of its proper divisors (1).

4097741 is an equidigital number, since it uses as much as digits as its factorization.

4097741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 4097741 is about 2024.2877759844. The cubic root of 4097741 is about 160.0226660597.

The spelling of 4097741 in words is "four million, ninety-seven thousand, seven hundred forty-one".