4967004 has 48 divisors (see below), whose sum is σ = 13708800. Its totient is φ = 1369536.

The previous prime is 4966979. The next prime is 4967023. The reversal of 4967004 is 4007694.

4967004 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4967004² = 49342257472032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1417 + ... + 3455.

It is an arithmetic number, because the mean of its divisors is an integer number (285600).

Almost surely, 2^4967004 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 4967004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854400).

4967004 is an abundant number, since it is smaller than the sum of its proper divisors (8741796).

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

4967004 is a wasteful number, since it uses less digits than its factorization.

4967004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4967004 is about 2228.6776348319. The cubic root of 4967004 is about 170.6206150841.

The spelling of 4967004 in words is "four million, nine hundred sixty-seven thousand, four".