3972875 has 16 divisors (see below), whose sum is σ = 5098080. Its totient is φ = 3088800.

The previous prime is 3972851. The next prime is 3972877. The reversal of 3972875 is 5782793.

It is not a de Polignac number, because 3972875 - 2⁶ = 3972811 is a prime.

It is a d-powerful number, because it can be written as 3¹³ + 9⁵ + 7⁶ + 2¹⁷ + 8 + 7⁶ + 5⁹ .

It is not an unprimeable number, because it can be changed into a prime (3972877) 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 15 ways as a sum of consecutive naturals, for example, 4196 + ... + 5054.

It is an arithmetic number, because the mean of its divisors is an integer number (318630).

Almost surely, 2^3972875 is an apocalyptic number.

3972875 is a deficient number, since it is larger than the sum of its proper divisors (1125205).

3972875 is an equidigital number, since it uses as much as digits as its factorization.

3972875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 901 counting only the distinct ones).

The product of its digits is 105840, while the sum is 41.

The square root of 3972875 is about 1993.2072145163. The cubic root of 3972875 is about 158.3804722679.

The spelling of 3972875 in words is "three million, nine hundred seventy-two thousand, eight hundred seventy-five".