5625 has 15 divisors (see below), whose sum is σ = 10153. Its totient is φ = 3000.

The previous prime is 5623. The next prime is 5639. The reversal of 5625 is 5265.

It can be divided in two parts, 56 and 25, that added together give a 4-th power (81 = 3^{4}).

5625 = T_{74} + T_{75}.

The square root of 5625 is 75.

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

It can be written as a sum of positive squares in 2 ways, for example, as 441 + 5184 = 21^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (15).

It is a trimorphic number since its cube, 177978515625, ends in 5625.

It is not a de Polignac number, because 5625 - 2^{1} = 5623 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 5598 and 5607.

It is not an unprimeable number, because it can be changed into a prime (5623) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1123 + ... + 1127.

2^{5625} is an apocalyptic number.

5625 is the 75-th square number.

5625 is the 38-th centered octagonal number.

It is an amenable number.

5625 is a deficient number, since it is larger than the sum of its proper divisors (4528).

5625 is an equidigital number, since it uses as much as digits as its factorization.

5625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26 (or 8 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The cubic root of 5625 is about 17.7844665225.

The spelling of 5625 in words is "five thousand, six hundred twenty-five".

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