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9666 = 233179
BaseRepresentation
bin10010111000010
3111021000
42113002
5302131
6112430
740116
oct22702
914230
109666
117298
125716
134527
143746
152ce6
hex25c2

9666 has 16 divisors (see below), whose sum is σ = 21600. Its totient is φ = 3204.

The previous prime is 9661. The next prime is 9677. The reversal of 9666 is 6669.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

29666 is an apocalyptic number.

9666 is an abundant number, since it is smaller than the sum of its proper divisors (11934).

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 (10800).

9666 is a wasteful number, since it uses less digits than its factorization.

9666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 9666 is about 98.3158176490. The cubic root of 9666 is about 21.3017653764.

It can be divided in two parts, 96 and 66, that multiplied together give a palindrome (6336).

The spelling of 9666 in words is "nine thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 179 358 537 1074 1611 3222 4833 9666