2113665 has 32 divisors (see below), whose sum is σ = 3611520. Its totient is φ = 1053696.

The previous prime is 2113651. The next prime is 2113667. The reversal of 2113665 is 5663112.

2113665 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 2113665 - 2¹⁹ = 1589377 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113667) by changing a digit.

It is a nontrivial repunit in base 128.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18649 + ... + 18761.

It is an arithmetic number, because the mean of its divisors is an integer number (112860).

It is a Poulet number, since it divides 2^2113664-1.

2^2113665 is an apocalyptic number.

It is an amenable number.

2113665 is a deficient number, since it is larger than the sum of its proper divisors (1497855).

2113665 is a wasteful number, since it uses less digits than its factorization.

2113665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193.

The product of its digits is 1080, while the sum is 24.

The square root of 2113665 is about 1453.8449023194. The cubic root of 2113665 is about 128.3350799035.

Adding to 2113665 its reverse (5663112), we get a palindrome (7776777).

The spelling of 2113665 in words is "two million, one hundred thirteen thousand, six hundred sixty-five".