5384512 has 84 divisors (see below), whose sum is σ = 13290804. Its totient is φ = 2150400.

The previous prime is 5384501. The next prime is 5384513. The reversal of 5384512 is 2154835.

It can be written as a sum of positive squares in 2 ways, for example, as 4769856 + 614656 = 2184^2 + 784^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5384513) 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 11 ways as a sum of consecutive naturals, for example, 53262 + ... + 53362.

Almost surely, 2^5384512 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 5384512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6645402).

5384512 is an abundant number, since it is smaller than the sum of its proper divisors (7906292).

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

5384512 is a wasteful number, since it uses less digits than its factorization.

5384512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 5384512 is about 2320.4551277713. The cubic root of 5384512 is about 175.2731733571.

It can be divided in two parts, 538 and 4512, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 5384512 in words is "five million, three hundred eighty-four thousand, five hundred twelve".