1125 has 12 divisors (see below), whose sum is σ = 2028. Its totient is φ = 600.

The previous prime is 1123. The next prime is 1129. The reversal of 1125 is 5211.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1125 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 36 + 1089 = 6^2 + 33^2 .

It is not a de Polignac number, because 1125 - 2^{1} = 1123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

1125 is an undulating number in base 14.

It is a Curzon number.

It is a plaindrome in base 10 and base 12.

It is a nialpdrome in base 11 and base 15.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (169).

1125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1125 is a deficient number, since it is larger than the sum of its proper divisors (903).

1125 is an equidigital number, since it uses as much as digits as its factorization.

1125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21 (or 8 counting only the distinct ones).

The product of its digits is 10, while the sum is 9.

The square root of 1125 is about 33.5410196625. The cubic root of 1125 is about 10.4004191153.

Adding to 1125 its reverse (5211), we get a palindrome (6336).

It can be divided in two parts, 11 and 25, that added together give a triangular number (36 = T_{8}).

The spelling of 1125 in words is "one thousand, one hundred twenty-five".

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