5267844 has 72 divisors (see below), whose sum is σ = 14126112. Its totient is φ = 1653120.

The previous prime is 5267837. The next prime is 5267849. The reversal of 5267844 is 4487625.

5267844 = T₁₆₇ + T₁₆₈ + ... + T₃₃₀.

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 5⁷ + 2¹⁷ + 6⁵ + 7⁷ + 8⁵ + 4⁴ + 4¹¹ .

It is a junction number, because it is equal to n+sod(n) for n = 5267799 and 5267808.

It is not an unprimeable number, because it can be changed into a prime (5267849) 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 23 ways as a sum of consecutive naturals, for example, 63427 + ... + 63509.

It is an arithmetic number, because the mean of its divisors is an integer number (196196).

Almost surely, 2^5267844 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 5267844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063056).

5267844 is an abundant number, since it is smaller than the sum of its proper divisors (8858268).

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

5267844 is a wasteful number, since it uses less digits than its factorization.

With its successor (5267845) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (177).

5267844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 172 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 5267844 is about 2295.1784244368. The cubic root of 5267844 is about 173.9980182097.

It can be divided in two parts, 52 and 67844, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 5267844 in words is "five million, two hundred sixty-seven thousand, eight hundred forty-four".