3625 has 8 divisors (see below), whose sum is σ = 4680. Its totient is φ = 2800.

The previous prime is 3623. The next prime is 3631. The reversal of 3625 is 5263.

3625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3625 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 3481 = 12^2 + 59^2 .

It is not a de Polignac number, because 3625 - 2^{1} = 3623 is a prime.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

3625 is an undulating number in base 12.

3625 is a lucky number.

It is a plaindrome in base 7, base 14 and base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 3599 and 3608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111 + ... + 139.

It is an arithmetic number, because the mean of its divisors is an integer number (585).

It is an amenable number.

3625 is a deficient number, since it is larger than the sum of its proper divisors (1055).

3625 is an equidigital number, since it uses as much as digits as its factorization.

3625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 34 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 3625 is about 60.2079728940. The cubic root of 3625 is about 15.3615841284.

Adding to 3625 its reverse (5263), we get a palindrome (8888).

It can be divided in two parts, 36 and 25, that multiplied together give a square (900 = 30^{2}).

The spelling of 3625 in words is "three thousand, six hundred twenty-five".

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