613224 has 64 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 191232.

The previous prime is 613219. The next prime is 613229. The reversal of 613224 is 422316.

It is a happy number.

613224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (613219) and next prime (613229).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 613197 and 613206.

It is not an unprimeable number, because it can be changed into a prime (613229) by changing a digit.

613224 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 15 ways as a sum of consecutive naturals, for example, 3589 + ... + 3755.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁶¹³²²⁴ 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 613224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

613224 is an abundant number, since it is smaller than the sum of its proper divisors (1201176).

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

613224 is a wasteful number, since it uses less digits than its factorization.

613224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 613224 is about 783.0862021515. The cubic root of 613224 is about 84.9584110271.

The spelling of 613224 in words is "six hundred thirteen thousand, two hundred twenty-four".