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8925 = 352717
BaseRepresentation
bin10001011011101
3110020120
42023131
5241200
6105153
735010
oct21335
913216
108925
116784
1251b9
1340a7
143377
1529a0
hex22dd

8925 has 24 divisors (see below), whose sum is σ = 17856. Its totient is φ = 3840.

The previous prime is 8923. The next prime is 8929. The reversal of 8925 is 5298.

8925 is an admirable number.

It is not a de Polignac number, because 8925 - 21 = 8923 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a plaindrome in base 14 and base 16.

It is a zygodrome in base 14 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 8895 and 8904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (744).

28925 is an apocalyptic number.

8925 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8925 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 (8928).

8925 is a wasteful number, since it uses less digits than its factorization.

8925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 32 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 8925 is about 94.4722181385. The cubic root of 8925 is about 20.7428968768.

The spelling of 8925 in words is "eight thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 525 595 1275 1785 2975 8925