5802984 has 96 divisors (see below), whose sum is σ = 18195840. Its totient is φ = 1651200.

The previous prime is 5802947. The next prime is 5802997. The reversal of 5802984 is 4892085.

5802984 = 19³ + 20³ + ... + 69³.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13249 + ... + 13679.

It is an arithmetic number, because the mean of its divisors is an integer number (189540).

Almost surely, 2^5802984 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 5802984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9097920).

5802984 is an abundant number, since it is smaller than the sum of its proper divisors (12392856).

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

5802984 is a wasteful number, since it uses less digits than its factorization.

5802984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5802984 is about 2408.9383553757. The cubic root of 5802984 is about 179.7009850346.

It can be divided in two parts, 5802 and 984, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 5802984 in words is "five million, eight hundred two thousand, nine hundred eighty-four".