13630617 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 6082560.

The previous prime is 13630601. The next prime is 13630621. The reversal of 13630617 is 71603631.

13630617 is a `hidden beast` number, since 13 + 6 + 30 + 617 = 666.

It is not a de Polignac number, because 13630617 - 2⁴ = 13630601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13630637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153109 + ... + 153197.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^13630617 is an apocalyptic number.

13630617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13630617 is an abundant number, since it is smaller than the sum of its proper divisors (14674023).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13630617 is a wasteful number, since it uses less digits than its factorization.

13630617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13630617 is about 3691.9665491442. The cubic root of 13630617 is about 238.8756260730.

The spelling of 13630617 in words is "thirteen million, six hundred thirty thousand, six hundred seventeen".