613314 has 24 divisors (see below), whose sum is σ = 1431612. Its totient is φ = 188640.

The previous prime is 613297. The next prime is 613337. The reversal of 613314 is 413316.

613314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 613089 + 225 = 783^2 + 15^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 613314.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1077 + ... + 1544.

2⁶¹³³¹⁴ is an apocalyptic number.

613314 is an abundant number, since it is smaller than the sum of its proper divisors (818298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

613314 is a wasteful number, since it uses less digits than its factorization.

613314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2639 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 613314 is about 783.1436649811. The cubic root of 613314 is about 84.9625671392.

It can be divided in two parts, 61 and 3314, that added together give a cube (3375 = 15³).

The spelling of 613314 in words is "six hundred thirteen thousand, three hundred fourteen".