9963657 has 24 divisors (see below), whose sum is σ = 16529760. Its totient is φ = 5719680.

The previous prime is 9963641. The next prime is 9963689. The reversal of 9963657 is 7563699.

9963657 is a `hidden beast` number, since 9 + 9 + 636 + 5 + 7 = 666.

It is not a de Polignac number, because 9963657 - 2⁴ = 9963641 is a prime.

It is a d-powerful number, because it can be written as 9⁷ + 9⁷ + 6 + 3 + 6⁷ + 5³ + 7⁶ .

It is not an unprimeable number, because it can be changed into a prime (9961657) 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 23 ways as a sum of consecutive naturals, for example, 768 + ... + 4529.

It is an arithmetic number, because the mean of its divisors is an integer number (688740).

Almost surely, 2^9963657 is an apocalyptic number.

It is an amenable number.

9963657 is a deficient number, since it is larger than the sum of its proper divisors (6566103).

9963657 is a wasteful number, since it uses less digits than its factorization.

9963657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5330 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 9963657 is about 3156.5260968349. The cubic root of 9963657 is about 215.1821567849.

The spelling of 9963657 in words is "nine million, nine hundred sixty-three thousand, six hundred fifty-seven".