3966825 has 24 divisors (see below), whose sum is σ = 6615648. Its totient is φ = 2097280.

The previous prime is 3966817. The next prime is 3966857. The reversal of 3966825 is 5286693.

It is not a de Polignac number, because 3966825 - 2³ = 3966817 is a prime.

It is a d-powerful number, because it can be written as 3¹³ + 9² + 6⁵ + 6⁷ + 8³ + 2¹⁷ + 5⁹ .

3966825 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16909 + ... + 17141.

It is an arithmetic number, because the mean of its divisors is an integer number (275652).

Almost surely, 2^3966825 is an apocalyptic number.

It is an amenable number.

3966825 is a deficient number, since it is larger than the sum of its proper divisors (2648823).

3966825 is a wasteful number, since it uses less digits than its factorization.

3966825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 468 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 3966825 is about 1991.6889817439. The cubic root of 3966825 is about 158.3000360883.

It can be divided in two parts, 39668 and 25, that added together give a palindrome (39693).

The spelling of 3966825 in words is "three million, nine hundred sixty-six thousand, eight hundred twenty-five".