613993 has 2 divisors, whose sum is σ = 613994. Its totient is φ = 613992.

The previous prime is 613981. The next prime is 613999. The reversal of 613993 is 399316.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 162409 = 672^2 + 403^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-613993 is a prime.

It is not a weakly prime, because it can be changed into another prime (613999) 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 as a sum of consecutive naturals, namely, 306996 + 306997.

It is an arithmetic number, because the mean of its divisors is an integer number (306997).

2⁶¹³⁹⁹³ is an apocalyptic number.

It is an amenable number.

613993 is a deficient number, since it is larger than the sum of its proper divisors (1).

613993 is an equidigital number, since it uses as much as digits as its factorization.

613993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4374, while the sum is 31.

The square root of 613993 is about 783.5770542838. The cubic root of 613993 is about 84.9939095982.

The spelling of 613993 in words is "six hundred thirteen thousand, nine hundred ninety-three".