617313 has 8 divisors (see below), whose sum is σ = 826848. Its totient is φ = 409664.

The previous prime is 617311. The next prime is 617327. The reversal of 617313 is 313716.

617313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 617313 - 2¹ = 617311 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 617313.

It is not an unprimeable number, because it can be changed into a prime (617311) 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, 745 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (103356).

2⁶¹⁷³¹³ is an apocalyptic number.

It is an amenable number.

617313 is a deficient number, since it is larger than the sum of its proper divisors (209535).

617313 is a wasteful number, since it uses less digits than its factorization.

617313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943.

The product of its digits is 378, while the sum is 21.

The square root of 617313 is about 785.6926880148. The cubic root of 617313 is about 85.1468281162.

It can be divided in two parts, 61731 and 3, that multiplied together give a cube (185193 = 57³).

The spelling of 617313 in words is "six hundred seventeen thousand, three hundred thirteen".