13008645 has 48 divisors (see below), whose sum is σ = 24980592. Its totient is φ = 6220800.

The previous prime is 13008643. The next prime is 13008647. The reversal of 13008645 is 54680031.

13008645 is a `hidden beast` number, since 13 + 0 + 0 + 8 + 645 = 666.

13008645 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13008643) and next prime (13008647).

It can be written as a sum of positive squares in 8 ways, for example, as 285156 + 12723489 = 534^2 + 3567^2 .

It is not a de Polignac number, because 13008645 - 2¹ = 13008643 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13008643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21345 + ... + 21945.

It is an arithmetic number, because the mean of its divisors is an integer number (520429).

Almost surely, 2^13008645 is an apocalyptic number.

13008645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13008645 is a deficient number, since it is larger than the sum of its proper divisors (11971947).

13008645 is a wasteful number, since it uses less digits than its factorization.

13008645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13008645 is about 3606.7499220212. The cubic root of 13008645 is about 235.1855784750.

Adding to 13008645 its reverse (54680031), we get a palindrome (67688676).

The spelling of 13008645 in words is "thirteen million, eight thousand, six hundred forty-five".