13760565 has 64 divisors (see below), whose sum is σ = 28740096. Its totient is φ = 5455872.

The previous prime is 13760533. The next prime is 13760569. The reversal of 13760565 is 56506731.

It is not a de Polignac number, because 13760565 - 2⁵ = 13760533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13760569) 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 63 ways as a sum of consecutive naturals, for example, 22909 + ... + 23501.

It is an arithmetic number, because the mean of its divisors is an integer number (449064).

Almost surely, 2^13760565 is an apocalyptic number.

13760565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13760565 is an abundant number, since it is smaller than the sum of its proper divisors (14979531).

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

13760565 is a wasteful number, since it uses less digits than its factorization.

13760565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638.

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 13760565 is about 3709.5235543126. The cubic root of 13760565 is about 239.6323363575.

The spelling of 13760565 in words is "thirteen million, seven hundred sixty thousand, five hundred sixty-five".