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12375 = 325311
BaseRepresentation
bin11000001010111
3121222100
43001113
5344000
6133143
751036
oct30127
917870
1012375
119330
1271b3
13582c
14471d
153a00
hex3057

12375 has 24 divisors (see below), whose sum is σ = 24336. Its totient is φ = 6000.

The previous prime is 12373. The next prime is 12377. The reversal of 12375 is 57321.

Added to its reverse (57321) it gives a square (69696 = 2642).

12375 = 103 + 113 + ... + 153.

12375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12373) and next prime (12377).

It is not a de Polignac number, because 12375 - 21 = 12373 is a prime.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120 + ... + 1130.

It is an arithmetic number, because the mean of its divisors is an integer number (1014).

212375 is an apocalyptic number.

12375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12375 is a deficient number, since it is larger than the sum of its proper divisors (11961).

12375 is a wasteful number, since it uses less digits than its factorization.

12375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 19 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 12375 is about 111.2429773064. The cubic root of 12375 is about 23.1303250459.

Adding to 12375 its reverse (57321), we get a palindrome (69696).

The spelling of 12375 in words is "twelve thousand, three hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 125 165 225 275 375 495 825 1125 1375 2475 4125 12375