91125 has 28 divisors (see below), whose sum is σ = 170508. Its totient is φ = 48600.

The previous prime is 91121. The next prime is 91127. The reversal of 91125 is 52119.

It can be divided in two parts, 91 and 125, that added together give a cube (216 = 6^{3}).

The cubic root of 91125 is 45.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2916 + 88209 = 54^2 + 297^2 .

It is not a de Polignac number, because 91125 - 2^{2} = 91121 is a prime.

It is a plaindrome in base 12.

It is a zygodrome in base 3.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 91098 and 91107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18223 + ... + 18227.

91125 is a Friedman number, since it can be written as (9*5*1)^(2+1), using all its digits and the basic arithmetic operations.

2^{91125} is an apocalyptic number.

It is an amenable number.

91125 is a deficient number, since it is larger than the sum of its proper divisors (79383).

91125 is an frugal number, since it uses more digits than its factorization.

91125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 8 counting only the distinct ones).

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

The square root of 91125 is about 301.8691769625.

The spelling of 91125 in words is "ninety-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 243 375 405 675 729 1125 1215 2025 3375 3645 6075 10125 18225 30375 91125

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