523224 has 72 divisors (see below), whose sum is σ = 1570140. Its totient is φ = 157248.

The previous prime is 523219. The next prime is 523261. The reversal of 523224 is 422325.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 5⁸ + 2⁸ + 2¹⁰ + 3⁵ + 2¹⁷ + 4 .

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 523197 and 523206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12147 + ... + 12189.

2⁵²³²²⁴ is an apocalyptic number.

523224 is the 387-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785070).

523224 is an abundant number, since it is smaller than the sum of its proper divisors (1046916).

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

523224 is a wasteful number, since it uses less digits than its factorization.

523224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 523224 is about 723.3422426487. The cubic root of 523224 is about 80.5803628886.

Adding to 523224 its reverse (422325), we get a palindrome (945549).

It can be divided in two parts, 52322 and 4, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 523224 in words is "five hundred twenty-three thousand, two hundred twenty-four".