613312 has 42 divisors (see below), whose sum is σ = 1429512. Its totient is φ = 255744.

The previous prime is 613297. The next prime is 613337. The reversal of 613312 is 213316.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

613312 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 5 ways as a sum of consecutive naturals, for example, 16558 + ... + 16594.

It is an arithmetic number, because the mean of its divisors is an integer number (34036).

2⁶¹³³¹² 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 613312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714756).

613312 is an abundant number, since it is smaller than the sum of its proper divisors (816200).

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

613312 is an equidigital number, since it uses as much as digits as its factorization.

613312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its digits is 108, while the sum is 16.

The square root of 613312 is about 783.1423880751. The cubic root of 613312 is about 84.9624747855.

Adding to 613312 its reverse (213316), we get a palindrome (826628).

The spelling of 613312 in words is "six hundred thirteen thousand, three hundred twelve".