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19125 = 325317
BaseRepresentation
bin100101010110101
3222020100
410222311
51103000
6224313
7106521
oct45265
928210
1019125
1113407
12b099
138922
146d81
155a00
hex4ab5

19125 has 24 divisors (see below), whose sum is σ = 36504. Its totient is φ = 9600.

The previous prime is 19121. The next prime is 19139. The reversal of 19125 is 52191.

It can be divided in two parts, 191 and 25, that added together give a cube (216 = 63).

It can be written as a sum of positive squares in 4 ways, for example, as 81 + 19044 = 9^2 + 138^2 .

It is not a de Polignac number, because 19125 - 22 = 19121 is a prime.

19125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 19098 and 19107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19121) 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, 1117 + ... + 1133.

It is an arithmetic number, because the mean of its divisors is an integer number (1521).

219125 is an apocalyptic number.

19125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19125 is a deficient number, since it is larger than the sum of its proper divisors (17379).

19125 is a wasteful number, since it uses less digits than its factorization.

19125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 25 counting only the distinct ones).

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

The square root of 19125 is about 138.2931668594. The cubic root of 19125 is about 26.7424062062.

The spelling of 19125 in words is "nineteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 153 225 255 375 425 765 1125 1275 2125 3825 6375 19125