12517641 has 12 divisors (see below), whose sum is σ = 18112068. Its totient is φ = 8330784.

The previous prime is 12517613. The next prime is 12517667. The reversal of 12517641 is 14671521.

It is a happy number.

12517641 is a `hidden beast` number, since 1 + 2 + 5 + 17 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5861241 + 6656400 = 2421^2 + 2580^2 .

It is not a de Polignac number, because 12517641 - 2¹⁴ = 12501257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12517691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8431 + ... + 9803.

It is an arithmetic number, because the mean of its divisors is an integer number (1509339).

Almost surely, 2^12517641 is an apocalyptic number.

It is an amenable number.

12517641 is a deficient number, since it is larger than the sum of its proper divisors (5594427).

12517641 is a wasteful number, since it uses less digits than its factorization.

12517641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2389 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 12517641 is about 3538.0278404784. The cubic root of 12517641 is about 232.1885667196.

It can be divided in two parts, 125 and 17641, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 12517641 in words is "twelve million, five hundred seventeen thousand, six hundred forty-one".