4967784 has 64 divisors (see below), whose sum is σ = 13992000. Its totient is φ = 1632960.

The previous prime is 4967783. The next prime is 4967801. The reversal of 4967784 is 4877694.

4967784 = T₉₅ + T₉₆ + ... + T₃₁₂.

4967784 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4967783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23439 + ... + 23649.

It is an arithmetic number, because the mean of its divisors is an integer number (218625).

Almost surely, 2^4967784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4967784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6996000).

4967784 is an abundant number, since it is smaller than the sum of its proper divisors (9024216).

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

4967784 is a wasteful number, since it uses less digits than its factorization.

4967784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 4967784 is about 2228.8526196229. The cubic root of 4967784 is about 170.6295458274.

The spelling of 4967784 in words is "four million, nine hundred sixty-seven thousand, seven hundred eighty-four".