6925 has 6 divisors (see below), whose sum is σ = 8618. Its totient is φ = 5520.

The previous prime is 6917. The next prime is 6947. The reversal of 6925 is 5296.

6925 = 3² + 4² + ... + 27².

It can be written as a sum of positive squares in 3 ways, for example, as 36 + 6889 = 6^2 + 83^2 .

It is not a de Polignac number, because 6925 - 2³ = 6917 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6896 and 6905.

It is a congruent number.

It is an unprimeable number.

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, 114 + ... + 163.

It is an amenable number.

6925 is a deficient number, since it is larger than the sum of its proper divisors (1693).

6925 is a wasteful number, since it uses less digits than its factorization.

6925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 282 counting only the distinct ones).

The product of its digits is 540, while the sum is 22.

The square root of 6925 is about 83.2165848855. The cubic root of 6925 is about 19.0607473978.

Subtracting from 6925 its sum of digits (22), we obtain a triangular number (6903 = T₁₁₇).

Adding to 6925 its reverse (5296), we get a palindrome (12221).

The spelling of 6925 in words is "six thousand, nine hundred twenty-five".