3972984 has 16 divisors (see below), whose sum is σ = 9932520. Its totient is φ = 1324320.

The previous prime is 3972979. The next prime is 3973007. The reversal of 3972984 is 4892793.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82747 + ... + 82794.

Almost surely, 2^3972984 is an apocalyptic number.

It is an amenable number.

3972984 is an abundant number, since it is smaller than the sum of its proper divisors (5959536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3972984 is a wasteful number, since it uses less digits than its factorization.

3972984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165550 (or 165546 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 3972984 is about 1993.2345571959. The cubic root of 3972984 is about 158.3819206995.

It can be divided in two parts, 39729 and 84, that multiplied together give a triangular number (3337236 = T₂₅₈₃).

The spelling of 3972984 in words is "three million, nine hundred seventy-two thousand, nine hundred eighty-four".