3973825 has 12 divisors (see below), whose sum is σ = 5142528. Its totient is φ = 3040400.

The previous prime is 3973811. The next prime is 3973829. The reversal of 3973825 is 5283793.

It is not a de Polignac number, because 3973825 - 2¹⁵ = 3941057 is a prime.

It is a Duffinian number.

3973825 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2881 + ... + 4030.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 2^3973825 is an apocalyptic number.

It is an amenable number.

3973825 is a deficient number, since it is larger than the sum of its proper divisors (1168703).

3973825 is a wasteful number, since it uses less digits than its factorization.

3973825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944 (or 6939 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 3973825 is about 1993.4455096641. The cubic root of 3973825 is about 158.3930953228.

The spelling of 3973825 in words is "three million, nine hundred seventy-three thousand, eight hundred twenty-five".