1825 has 6 divisors (see below), whose sum is σ = 2294. Its totient is φ = 1440.

The previous prime is 1823. The next prime is 1831. The reversal of 1825 is 5281.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 1681 = 12^2 + 41^2 .

It is not a de Polignac number, because 1825 - 2¹ = 1823 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a nialpdrome in base 13 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1799 and 1808.

It is not an unprimeable number, because it can be changed into a prime (1823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12 + ... + 61.

2¹⁸²⁵ is an apocalyptic number.

1825 is the 25-th octagonal number.

It is an amenable number.

1825 is a deficient number, since it is larger than the sum of its proper divisors (469).

1825 is an equidigital number, since it uses as much as digits as its factorization.

1825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 78 counting only the distinct ones).

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

The square root of 1825 is about 42.7200187266. The cubic root of 1825 is about 12.2204619442.

The spelling of 1825 in words is "one thousand, eight hundred twenty-five".