9826 has 8 divisors (see below), whose sum is σ = 15660. Its totient is φ = 4624.

The previous prime is 9817. The next prime is 9829. The reversal of 9826 is 6289.

Subtracting from 9826 its sum of digits (25), we obtain a square (9801 = 99^{2}).

Multipling 9826 by its product of digits (864), we get a cube (8489664 = 204^{3}).

9826 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 9801 + 25 = 99^2 + 5^2 .

It is a self number, because there is not a number *n* which added to its sum of digits gives 9826.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 570 + ... + 586.

2^{9826} is an apocalyptic number.

9826 is a deficient number, since it is larger than the sum of its proper divisors (5834).

9826 is an equidigital number, since it uses as much as digits as its factorization.

9826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 19 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 9826 is about 99.1261822124. The cubic root of 9826 is about 21.4186578482.

The spelling of 9826 in words is "nine thousand, eight hundred twenty-six".

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