5259384 has 64 divisors (see below), whose sum is σ = 15741600. Its totient is φ = 1617408.

The previous prime is 5259379. The next prime is 5259389. The reversal of 5259384 is 4839525.

It is an interprime number because it is at equal distance from previous prime (5259379) and next prime (5259389).

It is a super-2 number, since 2×5259384² = 55322240118912, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 5 + 2²² + 5⁶ + 9² + 3⁶ + 8² + 4¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5259389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1872 + ... + 3744.

Almost surely, 2^5259384 is an apocalyptic number.

5259384 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 5259384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7870800).

5259384 is an abundant number, since it is smaller than the sum of its proper divisors (10482216).

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

5259384 is a wasteful number, since it uses less digits than its factorization.

5259384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1891 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 5259384 is about 2293.3346899221. The cubic root of 5259384 is about 173.9048230970.

The spelling of 5259384 in words is "five million, two hundred fifty-nine thousand, three hundred eighty-four".