2117105 has 12 divisors (see below), whose sum is σ = 2612340. Its totient is φ = 1647072.

The previous prime is 2117099. The next prime is 2117119. The reversal of 2117105 is 5017112.

It can be written as a sum of positive squares in 2 ways, for example, as 1449616 + 667489 = 1204^2 + 817^2 .

It is not a de Polignac number, because 2117105 - 2⁶ = 2117041 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9131 + ... + 9359.

It is an arithmetic number, because the mean of its divisors is an integer number (217695).

2^2117105 is an apocalyptic number.

It is an amenable number.

2117105 is a deficient number, since it is larger than the sum of its proper divisors (495235).

2117105 is an equidigital number, since it uses as much as digits as its factorization.

2117105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 2117105 is about 1455.0274911492. The cubic root of 2117105 is about 128.4046641551.

It can be divided in two parts, 2117 and 105, that added together give a palindrome (2222).

The spelling of 2117105 in words is "two million, one hundred seventeen thousand, one hundred five".