• 125 can be written using four 4's:

125 has 4 divisors (see below), whose sum is σ = 156. Its totient is φ = 100.

The previous prime is 113. The next prime is 127. The reversal of 125 is 521.

The cubic root of 125 is 5.

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

125 is nontrivially palindromic in base 4.

125 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 4 + 121 = 2^2 + 11^2 .

It is a trimorphic number since its cube, 1953125, ends in 125.

It is not a de Polignac number, because 125 - 2^{4} = 109 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Canada number.

It is a Duffinian number.

Its product of digits (10) is a multiple of the sum of its prime divisors (5).

It is a Curzon number.

It is a plaindrome in base 3, base 7, base 9, base 10, base 14 and base 16.

It is a nialpdrome in base 5, base 12, base 13 and base 15.

It is a zygodrome in base 3.

It is a congruent number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23 + ... + 27.

It is an arithmetic number, because the mean of its divisors is an integer number (39).

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

It is an amenable number.

125 is a deficient number, since it is larger than the sum of its proper divisors (31).

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

With its successor (126) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (15).

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

The sum of its prime factors is 15 (or 5 counting only the distinct ones).

The product of its digits is 10, while the sum is 8.

The square root of 125 is about 11.1803398875.

Adding to 125 its reverse (521), we get a palindrome (646).

The spelling of 125 in words is "one hundred twenty-five", and thus it is an aban number.

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