9752643 has 20 divisors (see below), whose sum is σ = 15337960. Its totient is φ = 6158592.

The previous prime is 9752627. The next prime is 9752647. The reversal of 9752643 is 3462579.

9752643 is a `hidden beast` number, since 9 + 7 + 5 + 2 + 643 = 666.

It is not a de Polignac number, because 9752643 - 2⁴ = 9752627 is a prime.

It is a super-2 number, since 2×9752643² = 190228090970898, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9752598 and 9752607.

It is not an unprimeable number, because it can be changed into a prime (9752647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1630 + ... + 4707.

It is an arithmetic number, because the mean of its divisors is an integer number (766898).

Almost surely, 2^9752643 is an apocalyptic number.

9752643 is a deficient number, since it is larger than the sum of its proper divisors (5585317).

9752643 is a wasteful number, since it uses less digits than its factorization.

9752643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368 (or 6359 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 9752643 is about 3122.9221892324. The cubic root of 9752643 is about 213.6522359937.

Subtracting from 9752643 its reverse (3462579), we obtain a square (6290064 = 2508²).

The spelling of 9752643 in words is "nine million, seven hundred fifty-two thousand, six hundred forty-three".