12583273 has 2 divisors, whose sum is σ = 12583274. Its totient is φ = 12583272.

The previous prime is 12583237. The next prime is 12583297. The reversal of 12583273 is 37238521.

Together with previous prime (12583237) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8139609 + 4443664 = 2853^2 + 2108^2 .

It is an emirp because it is prime and its reverse (37238521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12583273 - 2⁹ = 12582761 is a prime.

It is equal to p₈₂₃₇₇₄ and since 12583273 and 823774 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (12583573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6291636 + 6291637.

It is an arithmetic number, because the mean of its divisors is an integer number (6291637).

Almost surely, 2^12583273 is an apocalyptic number.

It is an amenable number.

12583273 is a deficient number, since it is larger than the sum of its proper divisors (1).

12583273 is an equidigital number, since it uses as much as digits as its factorization.

12583273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 31.

The square root of 12583273 is about 3547.2909381668. The cubic root of 12583273 is about 232.5936601876.

The spelling of 12583273 in words is "twelve million, five hundred eighty-three thousand, two hundred seventy-three".