2117041 has 2 divisors, whose sum is σ = 2117042. Its totient is φ = 2117040.

The previous prime is 2117039. The next prime is 2117051. The reversal of 2117041 is 1407112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2117025 + 16 = 1455^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 2117041 - 2¹ = 2117039 is a prime.

Together with 2117039, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2117051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1058520 + 1058521.

It is an arithmetic number, because the mean of its divisors is an integer number (1058521).

2^2117041 is an apocalyptic number.

It is an amenable number.

2117041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117041 is an equidigital number, since it uses as much as digits as its factorization.

2117041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 2117041 is about 1455.0054982714. The cubic root of 2117041 is about 128.4033702528.

Subtracting from 2117041 its sum of digits (16), we obtain a square (2117025 = 1455²).

The spelling of 2117041 in words is "two million, one hundred seventeen thousand, forty-one".