2125 has 8 divisors (see below), whose sum is σ = 2808. Its totient is φ = 1600.

The previous prime is 2113. The next prime is 2129. The reversal of 2125 is 5212.

It can be written as a sum of positive squares in 4 ways, for example, as 9 + 2116 = 3^2 + 46^2 .

It is not a de Polignac number, because 2125 - 2^{7} = 1997 is a prime.

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

It is a Duffinian number.

2125 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 5 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129) 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 7 ways as a sum of consecutive naturals, for example, 117 + ... + 133.

It is an arithmetic number, because the mean of its divisors is an integer number (351).

2^{2125} is an apocalyptic number.

2125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2125 is the 25-th nonagonal number.

It is an amenable number.

2125 is a deficient number, since it is larger than the sum of its proper divisors (683).

2125 is an equidigital number, since it uses as much as digits as its factorization.

2125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 22 counting only the distinct ones).

The product of its digits is 20, while the sum is 10.

The square root of 2125 is about 46.0977222865. The cubic root of 2125 is about 12.8564079533.

Adding to 2125 its product of digits (20), we get a triangular number (2145 = T_{65}).

Adding to 2125 its reverse (5212), we get a palindrome (7337).

It can be divided in two parts, 21 and 25, that multiplied together give a palindrome (525).

The spelling of 2125 in words is "two thousand, one hundred twenty-five".

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