2967984 has 30 divisors (see below), whose sum is σ = 8306636. Its totient is φ = 989280.

The previous prime is 2967983. The next prime is 2968001. The reversal of 2967984 is 4897692.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2967983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10162 + ... + 10449.

2^2967984 is an apocalyptic number.

2967984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2967984 is an abundant number, since it is smaller than the sum of its proper divisors (5338652).

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

2967984 is a wasteful number, since it uses less digits than its factorization.

2967984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20625 (or 20616 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2967984 is about 1722.7837937478. The cubic root of 2967984 is about 143.7100647730.

The spelling of 2967984 in words is "two million, nine hundred sixty-seven thousand, nine hundred eighty-four".