12809241 has 9 divisors (see below), whose sum is σ = 18517759. Its totient is φ = 8532336.

The previous prime is 12809221. The next prime is 12809281. The reversal of 12809241 is 14290821.

The square root of 12809241 is 3579.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6579225 + 6230016 = 2565^2 + 2496^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12809241 - 2¹³ = 12801049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12809221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10141 + ... + 11333.

Almost surely, 2^12809241 is an apocalyptic number.

12809241 is the 3579-th square number.

12809241 is the 1790-th centered octagonal number.

It is an amenable number.

12809241 is a deficient number, since it is larger than the sum of its proper divisors (5708518).

12809241 is an frugal number, since it uses more digits than its factorization.

12809241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 12809241 is about 233.9776989486.

The spelling of 12809241 in words is "twelve million, eight hundred nine thousand, two hundred forty-one".