45613 has 2 divisors, whose sum is σ = 45614. Its totient is φ = 45612.

The previous prime is 45599. The next prime is 45631. The reversal of 45613 is 31654.

45613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (45631) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26569 + 19044 = 163^2 + 138^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-45613 is a prime.

45613 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22806 + 22807.

It is an arithmetic number, because the mean of its divisors is an integer number (22807).

2⁴⁵⁶¹³ is an apocalyptic number.

It is an amenable number.

45613 is a deficient number, since it is larger than the sum of its proper divisors (1).

45613 is an equidigital number, since it uses as much as digits as its factorization.

45613 is an evil number, because the sum of its binary digits is even.

The product of its digits is 360, while the sum is 19.

The square root of 45613 is about 213.5720019104. The cubic root of 45613 is about 35.7297144766.

The spelling of 45613 in words is "forty-five thousand, six hundred thirteen".