9286641 has 96 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 4257792.

The previous prime is 9286633. The next prime is 9286643. The reversal of 9286641 is 1466829.

9286641 is a `hidden beast` number, since 9 + 2 + 8 + 6 + 641 = 666.

It is not a de Polignac number, because 9286641 - 2³ = 9286633 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9286596 and 9286605.

It is not an unprimeable number, because it can be changed into a prime (9286643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 320215 + ... + 320243.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^9286641 is an apocalyptic number.

9286641 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

9286641 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

9286641 is a wasteful number, since it uses less digits than its factorization.

9286641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 92 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 9286641 is about 3047.3990549319. The cubic root of 9286641 is about 210.1936309311.

It can be divided in two parts, 928 and 6641, that added together give a square (7569 = 87²).

The spelling of 9286641 in words is "nine million, two hundred eighty-six thousand, six hundred forty-one".