12582973 has 8 divisors (see below), whose sum is σ = 13578488. Its totient is φ = 11591424.

The previous prime is 12582971. The next prime is 12582991. The reversal of 12582973 is 37928521.

12582973 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 597529 + 11985444 = 773^2 + 3462^2 .

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

It is not a de Polignac number, because 12582973 - 2¹ = 12582971 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12582971) 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 in 7 ways as a sum of consecutive naturals, for example, 11665 + ... + 12697.

It is an arithmetic number, because the mean of its divisors is an integer number (1697311).

Almost surely, 2^12582973 is an apocalyptic number.

12582973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12582973 is a deficient number, since it is larger than the sum of its proper divisors (995515).

12582973 is a wasteful number, since it uses less digits than its factorization.

12582973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983.

The product of its digits is 30240, while the sum is 37.

The square root of 12582973 is about 3547.2486521246. The cubic root of 12582973 is about 232.5918117376.

The spelling of 12582973 in words is "twelve million, five hundred eighty-two thousand, nine hundred seventy-three".