7825 has 6 divisors (see below), whose sum is σ = 9734. Its totient is φ = 6240.

The previous prime is 7823. The next prime is 7829. The reversal of 7825 is 5287.

It can be written as a sum of positive squares in 3 ways, for example, as 81 + 7744 = 9^2 + 88^2 .

It is not a de Polignac number, because 7825 - 2¹ = 7823 is a prime.

It is a super-2 number, since 2×7825² = 122461250, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 7796 and 7805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132 + ... + 181.

It is the magic constant of a 25 × 25 magic square.

It is an amenable number.

7825 is a deficient number, since it is larger than the sum of its proper divisors (1909).

7825 is a wasteful number, since it uses less digits than its factorization.

7825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 318 counting only the distinct ones).

The product of its digits is 560, while the sum is 22.

The square root of 7825 is about 88.4590300648. The cubic root of 7825 is about 19.8530901842.

Adding to 7825 its product of digits (560), we get a triangular number (8385 = T₁₂₉).

It can be divided in two parts, 782 and 5, that added together give a palindrome (787).

The spelling of 7825 in words is "seven thousand, eight hundred twenty-five".