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9822 = 231637
BaseRepresentation
bin10011001011110
3111110210
42121132
5303242
6113250
740431
oct23136
914423
109822
11741a
125826
134617
143818
152d9c
hex265e

9822 has 8 divisors (see below), whose sum is σ = 19656. Its totient is φ = 3272.

The previous prime is 9817. The next prime is 9829. The reversal of 9822 is 2289.

It is a sphenic number, since it is the product of 3 distinct primes.

9822 is an admirable number.

It is a nialpdrome in base 10.

It is a congruent number.

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

9822 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 813 + ... + 824.

It is an arithmetic number, because the mean of its divisors is an integer number (2457).

29822 is an apocalyptic number.

9822 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828).

9822 is a wasteful number, since it uses less digits than its factorization.

9822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642.

The product of its digits is 288, while the sum is 21.

The square root of 9822 is about 99.1060038545. The cubic root of 9822 is about 21.4157510615.

Subtracting from 9822 its sum of digits (21), we obtain a square (9801 = 992).

It can be divided in two parts, 98 and 22, that added together give a triangular number (120 = T15).

The spelling of 9822 in words is "nine thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 1637 3274 4911 9822