12792517 has 8 divisors (see below), whose sum is σ = 13634136. Its totient is φ = 11960832.

The previous prime is 12792499. The next prime is 12792523. The reversal of 12792517 is 71529721.

It can be written as a sum of positive squares in 4 ways, for example, as 4532641 + 8259876 = 2129^2 + 2874^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12792517 - 2⁷ = 12792389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12792547) 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 7 ways as a sum of consecutive naturals, for example, 273 + ... + 5065.

It is an arithmetic number, because the mean of its divisors is an integer number (1704267).

Almost surely, 2^12792517 is an apocalyptic number.

12792517 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12792517 is a deficient number, since it is larger than the sum of its proper divisors (841619).

12792517 is a wasteful number, since it uses less digits than its factorization.

12792517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967.

The product of its digits is 8820, while the sum is 34.

The square root of 12792517 is about 3576.6628300694. The cubic root of 12792517 is about 233.8758259530.

The spelling of 12792517 in words is "twelve million, seven hundred ninety-two thousand, five hundred seventeen".