13207617 has 30 divisors (see below), whose sum is σ = 20431334. Its totient is φ = 8501760.

The previous prime is 13207613. The next prime is 13207687. The reversal of 13207617 is 71670231.

It can be written as a sum of positive squares in 3 ways, for example, as 505521 + 12702096 = 711^2 + 3564^2 .

It is not a de Polignac number, because 13207617 - 2² = 13207613 is a prime.

It is a super-2 number, since 2×13207617² = 348882293637378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13207613) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 136113 + ... + 136209.

Almost surely, 2^13207617 is an apocalyptic number.

It is an amenable number.

13207617 is a deficient number, since it is larger than the sum of its proper divisors (7223717).

13207617 is an frugal number, since it uses more digits than its factorization.

13207617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 13207617 is about 3634.2285288628. The cubic root of 13207617 is about 236.3785996758.

Adding to 13207617 its reverse (71670231), we get a palindrome (84877848).

It can be divided in two parts, 13207 and 617, that added together give a cube (13824 = 24³).

The spelling of 13207617 in words is "thirteen million, two hundred seven thousand, six hundred seventeen".