813613 has 2 divisors, whose sum is σ = 813614. Its totient is φ = 813612.

The previous prime is 813601. The next prime is 813623. The reversal of 813613 is 316318.

813613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 813604 + 9 = 902^2 + 3^2 .

813613 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 813613 - 2¹³ = 805421 is a prime.

It is a super-2 number, since 2×813613² = 1323932227538, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406806 + 406807.

It is an arithmetic number, because the mean of its divisors is an integer number (406807).

2⁸¹³⁶¹³ is an apocalyptic number.

It is an amenable number.

813613 is a deficient number, since it is larger than the sum of its proper divisors (1).

813613 is an equidigital number, since it uses as much as digits as its factorization.

813613 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 22.

The square root of 813613 is about 902.0049888997. The cubic root of 813613 is about 93.3553675302.

The spelling of 813613 in words is "eight hundred thirteen thousand, six hundred thirteen".