20131617 has 24 divisors (see below), whose sum is σ = 30472960. Its totient is φ = 11800800.

The previous prime is 20131609. The next prime is 20131667. The reversal of 20131617 is 71613102.

It is not a de Polignac number, because 20131617 - 2³ = 20131609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20131593 and 20131602.

It is not an unprimeable number, because it can be changed into a prime (20131607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10359 + ... + 12147.

Almost surely, 2^20131617 is an apocalyptic number.

It is an amenable number.

20131617 is a deficient number, since it is larger than the sum of its proper divisors (10341343).

20131617 is a wasteful number, since it uses less digits than its factorization.

20131617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1834 counting only the distinct ones).

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

The square root of 20131617 is about 4486.8270526063. The cubic root of 20131617 is about 272.0358994211.

Adding to 20131617 its reverse (71613102), we get a palindrome (91744719).

The spelling of 20131617 in words is "twenty million, one hundred thirty-one thousand, six hundred seventeen".