73613 has 2 divisors, whose sum is σ = 73614. Its totient is φ = 73612.

The previous prime is 73609. The next prime is 73637. The reversal of 73613 is 31637.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64009 + 9604 = 253^2 + 98^2 .

73613 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 73613 - 2² = 73609 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36806 + 36807.

It is an arithmetic number, because the mean of its divisors is an integer number (36807).

2⁷³⁶¹³ is an apocalyptic number.

It is an amenable number.

73613 is a deficient number, since it is larger than the sum of its proper divisors (1).

73613 is an equidigital number, since it uses as much as digits as its factorization.

73613 is an evil number, because the sum of its binary digits is even.

The product of its digits is 378, while the sum is 20.

The square root of 73613 is about 271.3171575850. The cubic root of 73613 is about 41.9100493664.

It can be divided in two parts, 73 and 613, that added together give a palindrome (686).

The spelling of 73613 in words is "seventy-three thousand, six hundred thirteen".