613605 has 16 divisors (see below), whose sum is σ = 1033920. Its totient is φ = 309888.

The previous prime is 613597. The next prime is 613607. The reversal of 613605 is 506316.

It is not a de Polignac number, because 613605 - 2³ = 613597 is a prime.

It is a super-2 number, since 2×613605² = 753022192050, which contains 22 as substring.

613605 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613607) 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 15 ways as a sum of consecutive naturals, for example, 792 + ... + 1361.

It is an arithmetic number, because the mean of its divisors is an integer number (64620).

2⁶¹³⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

613605 is a deficient number, since it is larger than the sum of its proper divisors (420315).

613605 is a wasteful number, since it uses less digits than its factorization.

613605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 613605 is about 783.3294326144. The cubic root of 613605 is about 84.9760024528.

The spelling of 613605 in words is "six hundred thirteen thousand, six hundred five".