2113617 has 16 divisors (see below), whose sum is σ = 3237120. Its totient is φ = 1213200.

The previous prime is 2113609. The next prime is 2113651. The reversal of 2113617 is 7163112.

It is not a de Polignac number, because 2113617 - 2³ = 2113609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2113593 and 2113602.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1059 + ... + 2312.

It is an arithmetic number, because the mean of its divisors is an integer number (202320).

2^2113617 is an apocalyptic number.

It is an amenable number.

2113617 is a deficient number, since it is larger than the sum of its proper divisors (1123503).

2113617 is a wasteful number, since it uses less digits than its factorization.

2113617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404.

The product of its digits is 252, while the sum is 21.

The square root of 2113617 is about 1453.8283942749. The cubic root of 2113617 is about 128.3341084266.

Adding to 2113617 its reverse (7163112), we get a palindrome (9276729).

It can be divided in two parts, 211 and 3617, that added together give a triangular number (3828 = T₈₇).

The spelling of 2113617 in words is "two million, one hundred thirteen thousand, six hundred seventeen".