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8827 = 71397
BaseRepresentation
bin10001001111011
3110002221
42021323
5240302
6104511
734510
oct21173
913087
108827
1166a5
125137
134030
143307
152937
hex227b

8827 has 8 divisors (see below), whose sum is σ = 10976. Its totient is φ = 6912.

The previous prime is 8821. The next prime is 8831. The reversal of 8827 is 7288.

8827 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a 8-Lehmer number, since φ(8827) divides (8827-1)8.

It is a cyclic number.

It is not a de Polignac number, because 8827 - 23 = 8819 is a prime.

8827 is a lucky number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (8821) 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, 43 + ... + 139.

It is an arithmetic number, because the mean of its divisors is an integer number (1372).

28827 is an apocalyptic number.

8827 is a deficient number, since it is larger than the sum of its proper divisors (2149).

8827 is a wasteful number, since it uses less digits than its factorization.

8827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117.

The product of its digits is 896, while the sum is 25.

The square root of 8827 is about 93.9521154631. The cubic root of 8827 is about 20.6666955717. Note that the first 4 decimals are identical.

The spelling of 8827 in words is "eight thousand, eight hundred twenty-seven".

Divisors: 1 7 13 91 97 679 1261 8827