25625 has 10 divisors (see below), whose sum is σ = 32802. Its totient is φ = 20000.

The previous prime is 25621. The next prime is 25633. The reversal of 25625 is 52652.

It can be divided in two parts, 256 and 25, that multiplied together give a square (6400 = 80^{2}).

It is a happy number.

25625 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 5 ways, for example, as 17161 + 8464 = 131^2 + 92^2 .

It is not a de Polignac number, because 25625 - 2^{2} = 25621 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 25597 and 25606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25621) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 605 + ... + 645.

2^{25625} is an apocalyptic number.

25625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25625 is a deficient number, since it is larger than the sum of its proper divisors (7177).

25625 is an frugal number, since it uses more digits than its factorization.

25625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 46 counting only the distinct ones).

The product of its digits is 600, while the sum is 20.

The square root of 25625 is about 160.0781059358. The cubic root of 25625 is about 29.4818426999.

The spelling of 25625 in words is "twenty-five thousand, six hundred twenty-five".

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