3972085 has 16 divisors (see below), whose sum is σ = 5234544. Its totient is φ = 2875392.

The previous prime is 3972071. The next prime is 3972091. The reversal of 3972085 is 5802793.

It can be written as a sum of positive squares in 8 ways, for example, as 36 + 3972049 = 6^2 + 1993^2 .

It is not a de Polignac number, because 3972085 - 2¹³ = 3963893 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3972085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2869 + ... + 4021.

It is an arithmetic number, because the mean of its divisors is an integer number (327159).

Almost surely, 2^3972085 is an apocalyptic number.

It is an amenable number.

3972085 is a deficient number, since it is larger than the sum of its proper divisors (1262459).

3972085 is a wasteful number, since it uses less digits than its factorization.

3972085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224.

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

The square root of 3972085 is about 1993.0090315902. The cubic root of 3972085 is about 158.3699736687.

The spelling of 3972085 in words is "three million, nine hundred seventy-two thousand, eighty-five".