612613 has 2 divisors, whose sum is σ = 612614. Its totient is φ = 612612.

The previous prime is 612611. The next prime is 612637. The reversal of 612613 is 316216.

612613 is nontrivially palindromic in base 9.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 611524 + 1089 = 782^2 + 33^2 .

It is a cyclic number.

It is not a de Polignac number, because 612613 - 2¹ = 612611 is a prime.

Together with 612611, it forms a pair of twin primes.

It is a zygodrome in base 9.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (612611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 306306 + 306307.

It is an arithmetic number, because the mean of its divisors is an integer number (306307).

2⁶¹²⁶¹³ is an apocalyptic number.

It is an amenable number.

612613 is a deficient number, since it is larger than the sum of its proper divisors (1).

612613 is an equidigital number, since it uses as much as digits as its factorization.

612613 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216, while the sum is 19.

The square root of 612613 is about 782.6959818474. The cubic root of 612613 is about 84.9301848873.

Adding to 612613 its reverse (316216), we get a palindrome (928829).

It can be divided in two parts, 612 and 613, that added together give a triangular number (1225 = T₄₉).

The spelling of 612613 in words is "six hundred twelve thousand, six hundred thirteen".