13005465 has 48 divisors (see below), whose sum is σ = 23889600. Its totient is φ = 5991040.

The previous prime is 13005457. The next prime is 13005491. The reversal of 13005465 is 56450031.

13005465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13005465 - 2³ = 13005457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87211 + ... + 87359.

It is an arithmetic number, because the mean of its divisors is an integer number (497700).

Almost surely, 2^13005465 is an apocalyptic number.

13005465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13005465 is a deficient number, since it is larger than the sum of its proper divisors (10884135).

13005465 is a wasteful number, since it uses less digits than its factorization.

13005465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 13005465 is about 3606.3090549757. The cubic root of 13005465 is about 235.1664129870.

Adding to 13005465 its reverse (56450031), we get a palindrome (69455496).

The spelling of 13005465 in words is "thirteen million, five thousand, four hundred sixty-five".