653224 has 32 divisors (see below), whose sum is σ = 1441440. Its totient is φ = 273600.

The previous prime is 653209. The next prime is 653243. The reversal of 653224 is 422356.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 6⁶ + 5⁷ + 2⁵ + 3³ + 2¹⁹ + 4⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 653195 and 653204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 859 + ... + 1429.

It is an arithmetic number, because the mean of its divisors is an integer number (45045).

2⁶⁵³²²⁴ 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 653224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720720).

653224 is an abundant number, since it is smaller than the sum of its proper divisors (788216).

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

653224 is a wasteful number, since it uses less digits than its factorization.

653224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 597 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 653224 is about 808.2227415756. Note that the first 3 decimals coincide. The cubic root of 653224 is about 86.7668925957.

653224 divided by its sum of digits (22) gives a palindrome (29692).

It can be divided in two parts, 6532 and 24, that added together give a palindrome (6556).

The spelling of 653224 in words is "six hundred fifty-three thousand, two hundred twenty-four".