13205565 has 32 divisors (see below), whose sum is σ = 24503040. Its totient is φ = 6735168.

The previous prime is 13205537. The next prime is 13205603. The reversal of 13205565 is 56550231.

It is not a de Polignac number, because 13205565 - 2¹⁷ = 13074493 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979 + ... + 5231.

It is an arithmetic number, because the mean of its divisors is an integer number (765720).

Almost surely, 2^13205565 is an apocalyptic number.

13205565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13205565 is a deficient number, since it is larger than the sum of its proper divisors (11297475).

13205565 is a wasteful number, since it uses less digits than its factorization.

13205565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 13205565 is about 3633.9462021334. The cubic root of 13205565 is about 236.3663573965.

Adding to 13205565 its reverse (56550231), we get a palindrome (69755796).

The spelling of 13205565 in words is "thirteen million, two hundred five thousand, five hundred sixty-five".