4963984 has 15 divisors (see below), whose sum is σ = 9635017. Its totient is φ = 2477536.

The previous prime is 4963967. The next prime is 4964009. The reversal of 4963984 is 4893694.

The square root of 4963984 is 2228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 4528384 = 660^2 + 2128^2 .

It is a super-2 number, since 2×4963984² = 49282274304512, which contains 22 as substring.

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 4963984.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8634 + ... + 9190.

Almost surely, 2^4963984 is an apocalyptic number.

4963984 is the 2228-th square number.

It is an amenable number.

4963984 is a deficient number, since it is larger than the sum of its proper divisors (4671033).

4963984 is an frugal number, since it uses more digits than its factorization.

4963984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 559 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The cubic root of 4963984 is about 170.5860282571.

Multiplying 4963984 by its product of digits (186624), we get a square (926398550016 = 962496²).

The spelling of 4963984 in words is "four million, nine hundred sixty-three thousand, nine hundred eighty-four".