13008465 has 32 divisors (see below), whose sum is σ = 23304960. Its totient is φ = 6884352.

The previous prime is 13008461. The next prime is 13008469. The reversal of 13008465 is 56480031.

It is an interprime number because it is at equal distance from previous prime (13008461) and next prime (13008469).

It is not a de Polignac number, because 13008465 - 2² = 13008461 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (13008461) 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 31 ways as a sum of consecutive naturals, for example, 22257 + ... + 22833.

It is an arithmetic number, because the mean of its divisors is an integer number (728280).

Almost surely, 2^13008465 is an apocalyptic number.

13008465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13008465 is a deficient number, since it is larger than the sum of its proper divisors (10296495).

13008465 is a wasteful number, since it uses less digits than its factorization.

13008465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

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

The square root of 13008465 is about 3606.7249687216. The cubic root of 13008465 is about 235.1844937195.

Adding to 13008465 its reverse (56480031), we get a palindrome (69488496).

The spelling of 13008465 in words is "thirteen million, eight thousand, four hundred sixty-five".