4004984 has 16 divisors (see below), whose sum is σ = 7605600. Its totient is φ = 1976832.

The previous prime is 4004951. The next prime is 4004989. The reversal of 4004984 is 4894004.

4004984 = 185² + 186² + ... + 263².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2537 + ... + 3800.

It is an arithmetic number, because the mean of its divisors is an integer number (475350).

Almost surely, 2^4004984 is an apocalyptic number.

It is an amenable number.

4004984 is a deficient number, since it is larger than the sum of its proper divisors (3600616).

4004984 is a wasteful number, since it uses less digits than its factorization.

4004984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4004984 is about 2001.2456121126. The cubic root of 4004984 is about 158.8060078898.

Adding to 4004984 its reverse (4894004), we get a palindrome (8898988).

The spelling of 4004984 in words is "four million, four thousand, nine hundred eighty-four".