8125 has 10 divisors (see below), whose sum is σ = 10934. Its totient is φ = 6000.

The previous prime is 8123. The next prime is 8147. The reversal of 8125 is 5218.

It can be divided in two parts, 81 and 25, that multiplied together give a square (2025 = 45^{2}).

It is a happy number.

8125 is nontrivially palindromic in base 4.

8125 is digitally balanced in base 3, 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 5 ways, for example, as 4761 + 3364 = 69^2 + 58^2 .

It is a sliding number, since 8125 = 125 + 8000 and 1/125 + 1/8000 = 0.008125.

It is not a de Polignac number, because 8125 - 2^{1} = 8123 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 8099 and 8108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 619 + ... + 631.

2^{8125} is an apocalyptic number.

It is an amenable number.

8125 is a deficient number, since it is larger than the sum of its proper divisors (2809).

8125 is an equidigital number, since it uses as much as digits as its factorization.

8125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 18 counting only the distinct ones).

The product of its digits is 80, while the sum is 16.

The square root of 8125 is about 90.1387818866. The cubic root of 8125 is about 20.1036287929.

The spelling of 8125 in words is "eight thousand, one hundred twenty-five".

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