1625 has 8 divisors (see below), whose sum is σ = 2184. Its totient is φ = 1200.

The previous prime is 1621. The next prime is 1627. The reversal of 1625 is 5261.

1625 = 28² + 29².

1625 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 1369 = 16^2 + 37^2 .

It is not a de Polignac number, because 1625 - 2² = 1621 is a prime.

1625 is an undulating number in base 8.

It is a Curzon number.

It is a plaindrome in base 11.

It is a nialpdrome in base 13 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1621) 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, 119 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (273).

2¹⁶²⁵ is an apocalyptic number.

1625 is the 29-th centered square number.

It is an amenable number.

1625 is a deficient number, since it is larger than the sum of its proper divisors (559).

1625 is an equidigital number, since it uses as much as digits as its factorization.

1625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 18 counting only the distinct ones).

The product of its digits is 60, while the sum is 14.

The square root of 1625 is about 40.3112887415. The cubic root of 1625 is about 11.7566734386.

Adding to 1625 its reverse (5261), we get a palindrome (6886).

It can be divided in two parts, 16 and 25, that multiplied together give a square (400 = 20²).

The spelling of 1625 in words is "one thousand, six hundred twenty-five".