12973257 has 48 divisors (see below), whose sum is σ = 22311360. Its totient is φ = 7448760.

The previous prime is 12973253. The next prime is 12973291. The reversal of 12973257 is 75237921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 12973257 - 2² = 12973253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12973253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 682794 + ... + 682812.

It is an arithmetic number, because the mean of its divisors is an integer number (464820).

Almost surely, 2^12973257 is an apocalyptic number.

It is an amenable number.

12973257 is a deficient number, since it is larger than the sum of its proper divisors (9338103).

12973257 is an equidigital number, since it uses as much as digits as its factorization.

12973257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 33 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 12973257 is about 3601.8407793793. The cubic root of 12973257 is about 234.9721228438.

It can be divided in two parts, 1297 and 3257, that added together give a palindrome (4554).

The spelling of 12973257 in words is "twelve million, nine hundred seventy-three thousand, two hundred fifty-seven".