3125 has 6 divisors (see below), whose sum is σ = 3906. Its totient is φ = 2500.

The previous prime is 3121. The next prime is 3137. The reversal of 3125 is 5213.

It is a perfect power (a 5-th power), and thus also a powerful number.

3125 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 3 ways, for example, as 1444 + 1681 = 38^2 + 41^2 .

It is not a de Polignac number, because 3125 - 2^{2} = 3121 is a prime.

It is a Duffinian number.

Its product of digits (30) is a multiple of the sum of its prime divisors (5).

It is a plaindrome in base 6.

It is a nialpdrome in base 5 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 623 + ... + 627.

It is an arithmetic number, because the mean of its divisors is an integer number (651).

3125 is a Friedman number, since it can be written as (5*1)^(3+2), using all its digits and the basic arithmetic operations.

It is an amenable number.

3125 is a deficient number, since it is larger than the sum of its proper divisors (781).

3125 is an frugal number, since it uses more digits than its factorization.

3125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 5 counting only the distinct ones).

The product of its digits is 30, while the sum is 11.

The square root of 3125 is about 55.9016994375. The cubic root of 3125 is about 14.6200886911.

Adding to 3125 its sum of digits (11), we get a square (3136 = 56^{2}).

Adding to 3125 its reverse (5213), we get a palindrome (8338).

It can be divided in two parts, 3 and 125, that added together give a 7-th power (128 = 2^{7}).

The spelling of 3125 in words is "three thousand, one hundred twenty-five".

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