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12915 = 325741
BaseRepresentation
bin11001001110011
3122201100
43021303
5403130
6135443
752440
oct31163
918640
1012915
119781
127583
135b56
1449c7
153c60
hex3273

12915 has 24 divisors (see below), whose sum is σ = 26208. Its totient is φ = 5760.

The previous prime is 12911. The next prime is 12917. The reversal of 12915 is 51921.

It can be divided in two parts, 1291 and 5, that added together give a 4-th power (1296 = 64).

12915 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12915 - 22 = 12911 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12911) 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, 295 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (1092).

212915 is an apocalyptic number.

12915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12915 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 (13104).

12915 is a wasteful number, since it uses less digits than its factorization.

12915 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 56 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 12915 is about 113.6441815493. The cubic root of 12915 is about 23.4619877394.

The spelling of 12915 in words is "twelve thousand, nine hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 105 123 205 287 315 369 615 861 1435 1845 2583 4305 12915