713310 has 64 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 167040.

The previous prime is 713309. The next prime is 713311. The reversal of 713310 is 13317.

It is an interprime number because it is at equal distance from previous prime (713309) and next prime (713311).

It is a super-2 number, since 2×713310² = 1017622312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 713310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12061 + ... + 12119.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁷¹³³¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

713310 is an abundant number, since it is smaller than the sum of its proper divisors (1222050).

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

713310 is a wasteful number, since it uses less digits than its factorization.

713310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 713310 is about 844.5768171102. The cubic root of 713310 is about 89.3496325548.

Adding to 713310 its reverse (13317), we get a palindrome (726627).

The spelling of 713310 in words is "seven hundred thirteen thousand, three hundred ten".