4134984 has 64 divisors (see below), whose sum is σ = 11965440. Its totient is φ = 1166400.

The previous prime is 4134971. The next prime is 4135003. The reversal of 4134984 is 4894314.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 25287 + ... + 25449.

It is an arithmetic number, because the mean of its divisors is an integer number (186960).

Almost surely, 2^4134984 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 4134984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982720).

4134984 is an abundant number, since it is smaller than the sum of its proper divisors (7830456).

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

4134984 is a wasteful number, since it uses less digits than its factorization.

4134984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 4134984 is about 2033.4660066006. The cubic root of 4134984 is about 160.5060022406.

The spelling of 4134984 in words is "four million, one hundred thirty-four thousand, nine hundred eighty-four".