5226 has 16 divisors (see below), whose sum is σ = 11424. Its totient is φ = 1584.

The previous prime is 5209. The next prime is 5227. The reversal of 5226 is 6225.

It is a super-2 number, since 2×5226² = 54622152, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5226.

It is not an unprimeable number, because it can be changed into a prime (5227) by changing a digit.

5226 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45 + ... + 111.

It is an arithmetic number, because the mean of its divisors is an integer number (714).

2⁵²²⁶ is an apocalyptic number.

5226 is the 39-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712).

5226 is an abundant number, since it is smaller than the sum of its proper divisors (6198).

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

5226 is a wasteful number, since it uses less digits than its factorization.

5226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85.

The product of its digits is 120, while the sum is 15.

The square root of 5226 is about 72.2910782877. The cubic root of 5226 is about 17.3536087525.

Subtracting 5226 from its reverse (6225), we obtain a palindrome (999).

It can be divided in two parts, 522 and 6, that added together give a triangular number (528 = T₃₂).

The spelling of 5226 in words is "five thousand, two hundred twenty-six".