5302584 has 120 divisors (see below), whose sum is σ = 17380440. Its totient is φ = 1505952.

The previous prime is 5302573. The next prime is 5302603. The reversal of 5302584 is 4852035.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31669 + ... + 31835.

It is an arithmetic number, because the mean of its divisors is an integer number (144837).

Almost surely, 2^5302584 is an apocalyptic number.

5302584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5302584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8690220).

5302584 is an abundant number, since it is smaller than the sum of its proper divisors (12077856).

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

5302584 is a wasteful number, since it uses less digits than its factorization.

5302584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5302584 is about 2302.7340271946. The cubic root of 5302584 is about 174.3796703570.

It can be divided in two parts, 5302 and 584, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 5302584 in words is "five million, three hundred two thousand, five hundred eighty-four".