617013 has 12 divisors (see below), whose sum is σ = 898560. Its totient is φ = 407976.

The previous prime is 617011. The next prime is 617027. The reversal of 617013 is 310716.

617013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 617013 - 2¹ = 617011 is a prime.

617013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1420 + ... + 1802.

It is an arithmetic number, because the mean of its divisors is an integer number (74880).

2⁶¹⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

617013 is a deficient number, since it is larger than the sum of its proper divisors (281547).

617013 is a wasteful number, since it uses less digits than its factorization.

617013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 565 counting only the distinct ones).

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

The square root of 617013 is about 785.5017504755. The cubic root of 617013 is about 85.1330327441.

Adding to 617013 its reverse (310716), we get a palindrome (927729).

The spelling of 617013 in words is "six hundred seventeen thousand, thirteen".