3925 has 6 divisors (see below), whose sum is σ = 4898. Its totient is φ = 3120.

The previous prime is 3923. The next prime is 3929. The reversal of 3925 is 5293.

3925 = 12³ + 13³.

It can be written as a sum of positive squares in 3 ways, for example, as 81 + 3844 = 9^2 + 62^2 .

It is not a de Polignac number, because 3925 - 2¹ = 3923 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3923) 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, 54 + ... + 103.

2³⁹²⁵ is an apocalyptic number.

It is an amenable number.

3925 is a deficient number, since it is larger than the sum of its proper divisors (973).

3925 is a wasteful number, since it uses less digits than its factorization.

3925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 162 counting only the distinct ones).

The product of its digits is 270, while the sum is 19.

The square root of 3925 is about 62.6498204307. The cubic root of 3925 is about 15.7741713344.

Subtracting from 3925 its product of digits (270), we obtain a triangular number (3655 = T₈₅).

It can be divided in two parts, 39 and 25, that added together give a 6-th power (64 = 2⁶).

The spelling of 3925 in words is "three thousand, nine hundred twenty-five".