3972805 has 24 divisors (see below), whose sum is σ = 5266944. Its totient is φ = 2872800.

The previous prime is 3972791. The next prime is 3972809. The reversal of 3972805 is 5082793.

It is not a de Polignac number, because 3972805 - 2¹³ = 3964613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55920 + ... + 55990.

It is an arithmetic number, because the mean of its divisors is an integer number (219456).

Almost surely, 2^3972805 is an apocalyptic number.

It is an amenable number.

3972805 is a deficient number, since it is larger than the sum of its proper divisors (1294139).

3972805 is a wasteful number, since it uses less digits than its factorization.

3972805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 3972805 is about 1993.1896547996. The cubic root of 3972805 is about 158.3795420685.

The spelling of 3972805 in words is "three million, nine hundred seventy-two thousand, eight hundred five".