613107 has 18 divisors (see below), whose sum is σ = 975156. Its totient is φ = 370920.

The previous prime is 613099. The next prime is 613141. The reversal of 613107 is 701316.

It is not a de Polignac number, because 613107 - 2³ = 613099 is a prime.

613107 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 613107.

It is not an unprimeable number, because it can be changed into a prime (613177) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 808 + ... + 1370.

2⁶¹³¹⁰⁷ is an apocalyptic number.

613107 is a deficient number, since it is larger than the sum of its proper divisors (362049).

613107 is a wasteful number, since it uses less digits than its factorization.

613107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 577 counting only the distinct ones).

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

The square root of 613107 is about 783.0114941685. The cubic root of 613107 is about 84.9530074735.

Subtracting from 613107 its sum of digits (18), we obtain a square (613089 = 783²).

Subtracting 613107 from its reverse (701316), we obtain a square (88209 = 297²).

The spelling of 613107 in words is "six hundred thirteen thousand, one hundred seven".