9972457 has 12 divisors (see below), whose sum is σ = 11121460. Its totient is φ = 8933760.

The previous prime is 9972451. The next prime is 9972497. The reversal of 9972457 is 7542799.

It can be written as a sum of positive squares in 2 ways, for example, as 2944656 + 7027801 = 1716^2 + 2651^2 .

It is not a de Polignac number, because 9972457 - 2³ = 9972449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9972451) 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 11 ways as a sum of consecutive naturals, for example, 8269 + ... + 9397.

Almost surely, 2^9972457 is an apocalyptic number.

It is an amenable number.

9972457 is a deficient number, since it is larger than the sum of its proper divisors (1149003).

9972457 is a wasteful number, since it uses less digits than its factorization.

9972457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1213 counting only the distinct ones).

The product of its digits is 158760, while the sum is 43.

The square root of 9972457 is about 3157.9197266555. The cubic root of 9972457 is about 215.2454884770.

The spelling of 9972457 in words is "nine million, nine hundred seventy-two thousand, four hundred fifty-seven".