4117541 has 2 divisors, whose sum is σ = 4117542. Its totient is φ = 4117540.

The previous prime is 4117523. The next prime is 4117549. The reversal of 4117541 is 1457114.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3786916 + 330625 = 1946^2 + 575^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4117541 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p₂₉₀₉₂₁ and since 4117541 and 290921 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4117549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2058770 + 2058771.

It is an arithmetic number, because the mean of its divisors is an integer number (2058771).

Almost surely, 2^4117541 is an apocalyptic number.

It is an amenable number.

4117541 is a deficient number, since it is larger than the sum of its proper divisors (1).

4117541 is an equidigital number, since it uses as much as digits as its factorization.

4117541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 560, while the sum is 23.

The square root of 4117541 is about 2029.1724914359. The cubic root of 4117541 is about 160.2799915147.

The spelling of 4117541 in words is "four million, one hundred seventeen thousand, five hundred forty-one".