12971565 has 12 divisors (see below), whose sum is σ = 22484124. Its totient is φ = 6918144.

The previous prime is 12971551. The next prime is 12971573. The reversal of 12971565 is 56517921.

12971565 is a `hidden beast` number, since 1 + 2 + 97 + 1 + 565 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9753129 + 3218436 = 3123^2 + 1794^2 .

It is not a de Polignac number, because 12971565 - 2⁴ = 12971549 is a prime.

It is a super-3 number, since 3×12971565³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144084 + ... + 144173.

It is an arithmetic number, because the mean of its divisors is an integer number (1873677).

Almost surely, 2^12971565 is an apocalyptic number.

12971565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12971565 is a deficient number, since it is larger than the sum of its proper divisors (9512559).

12971565 is a wasteful number, since it uses less digits than its factorization.

12971565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288268 (or 288265 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 12971565 is about 3601.6058918210. The cubic root of 12971565 is about 234.9619072102.

The spelling of 12971565 in words is "twelve million, nine hundred seventy-one thousand, five hundred sixty-five".