313605 has 32 divisors (see below), whose sum is σ = 587520. Its totient is φ = 158400.

The previous prime is 313603. The next prime is 313613. The reversal of 313605 is 506313.

It is not a de Polignac number, because 313605 - 2¹ = 313603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3055 + ... + 3155.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2³¹³⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

313605 is a deficient number, since it is larger than the sum of its proper divisors (273915).

313605 is a wasteful number, since it uses less digits than its factorization.

313605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 313605 is about 560.0044642679. The cubic root of 313605 is about 67.9403311633.

Adding to 313605 its reverse (506313), we get a palindrome (819918).

The spelling of 313605 in words is "three hundred thirteen thousand, six hundred five".