3972985 has 16 divisors (see below), whose sum is σ = 5170176. Its totient is φ = 2919168.

The previous prime is 3972979. The next prime is 3973007. The reversal of 3972985 is 5892793.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3972985 - 2⁵ = 3972953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 3112 + ... + 4198.

It is an arithmetic number, because the mean of its divisors is an integer number (323136).

Almost surely, 2^3972985 is an apocalyptic number.

It is an amenable number.

3972985 is a deficient number, since it is larger than the sum of its proper divisors (1197191).

3972985 is a wasteful number, since it uses less digits than its factorization.

3972985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152.

The product of its digits is 136080, while the sum is 43.

The square root of 3972985 is about 1993.2348080445. The cubic root of 3972985 is about 158.3819339878.

The spelling of 3972985 in words is "three million, nine hundred seventy-two thousand, nine hundred eighty-five".