7925 has 6 divisors (see below), whose sum is σ = 9858. Its totient is φ = 6320.

The previous prime is 7919. The next prime is 7927. The reversal of 7925 is 5297.

It can be written as a sum of positive squares in 3 ways, for example, as 4 + 7921 = 2^2 + 89^2 .

It is not a de Polignac number, because 7925 - 2⁸ = 7669 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7927) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (1643).

2⁷⁹²⁵ is an apocalyptic number.

It is an amenable number.

7925 is a deficient number, since it is larger than the sum of its proper divisors (1933).

7925 is a wasteful number, since it uses less digits than its factorization.

7925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 322 counting only the distinct ones).

The product of its digits is 630, while the sum is 23.

The square root of 7925 is about 89.0224690738. The cubic root of 7925 is about 19.9373036638.

Subtracting from 7925 its reverse (5297), we obtain a triangular number (2628 = T₇₂).

It can be divided in two parts, 792 and 5, that added together give a palindrome (797).

The spelling of 7925 in words is "seven thousand, nine hundred twenty-five".