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9084 = 223757
BaseRepresentation
bin10001101111100
3110110110
42031330
5242314
6110020
735325
oct21574
913413
109084
116909
125310
13419a
14344c
152a59
hex237c

9084 has 12 divisors (see below), whose sum is σ = 21224. Its totient is φ = 3024.

The previous prime is 9067. The next prime is 9091. The reversal of 9084 is 4809.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 9084.

It is a congruent number.

It is an unprimeable number.

9084 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, 367 + ... + 390.

29084 is an apocalyptic number.

It is an amenable number.

9084 is an abundant number, since it is smaller than the sum of its proper divisors (12140).

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 (10612).

9084 is a wasteful number, since it uses less digits than its factorization.

9084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 762 counting only the distinct ones).

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

The square root of 9084 is about 95.3100204596. The cubic root of 9084 is about 20.8653516554.

The spelling of 9084 in words is "nine thousand, eighty-four".

Divisors: 1 2 3 4 6 12 757 1514 2271 3028 4542 9084