3984975 has 36 divisors (see below), whose sum is σ = 7254000. Its totient is φ = 2090880.

The previous prime is 3984971. The next prime is 3984983. The reversal of 3984975 is 5794893.

It is not a de Polignac number, because 3984975 - 2² = 3984971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 3984975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19926 + ... + 20124.

It is an arithmetic number, because the mean of its divisors is an integer number (201500).

Almost surely, 2^3984975 is an apocalyptic number.

3984975 is a deficient number, since it is larger than the sum of its proper divisors (3269025).

3984975 is a wasteful number, since it uses less digits than its factorization.

3984975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 3984975 is about 1996.2402160061. The cubic root of 3984975 is about 158.5410999773.

It can be divided in two parts, 39 and 84975, that multiplied together give a triangular number (3314025 = T₂₅₇₄).

The spelling of 3984975 in words is "three million, nine hundred eighty-four thousand, nine hundred seventy-five".