610713 has 8 divisors (see below), whose sum is σ = 904800. Its totient is φ = 407124.

The previous prime is 610703. The next prime is 610721. The reversal of 610713 is 317016.

It is not a de Polignac number, because 610713 - 2⁵ = 610681 is a prime.

It is a super-3 number, since 3×610713³ = 683333557733211291, which contains 333 as substring.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 610713.

It is not an unprimeable number, because it can be changed into a prime (610703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11283 + ... + 11336.

It is an arithmetic number, because the mean of its divisors is an integer number (113100).

2⁶¹⁰⁷¹³ is an apocalyptic number.

It is an amenable number.

610713 is a deficient number, since it is larger than the sum of its proper divisors (294087).

610713 is a wasteful number, since it uses less digits than its factorization.

610713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22628 (or 22622 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 610713 is about 781.4812857644. The cubic root of 610713 is about 84.8422911901.

Adding to 610713 its reverse (317016), we get a palindrome (927729).

The spelling of 610713 in words is "six hundred ten thousand, seven hundred thirteen".