9125 has 8 divisors (see below), whose sum is σ = 11544. Its totient is φ = 7200.

The previous prime is 9109. The next prime is 9127. The reversal of 9125 is 5219.

9125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 289 + 8836 = 17^2 + 94^2 .

It is not a de Polignac number, because 9125 - 2⁴ = 9109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 9 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9127) 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 7 ways as a sum of consecutive naturals, for example, 89 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (1443).

2⁹¹²⁵ is an apocalyptic number.

It is an amenable number.

9125 is a deficient number, since it is larger than the sum of its proper divisors (2419).

9125 is an equidigital number, since it uses as much as digits as its factorization.

9125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 78 counting only the distinct ones).

The product of its digits is 90, while the sum is 17.

The square root of 9125 is about 95.5248658727. The cubic root of 9125 is about 20.8966959819.

It can be divided in two parts, 912 and 5, that multiplied together give a triangular number (4560 = T₉₅).

The spelling of 9125 in words is "nine thousand, one hundred twenty-five".