34613 has 2 divisors, whose sum is σ = 34614. Its totient is φ = 34612.

The previous prime is 34607. The next prime is 34631. The reversal of 34613 is 31643.

Subtracting from 34613 its sum of digits (17), we obtain a square (34596 = 186^{2}).

34613 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 (34631) 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., 27889 + 6724 = 167^2 + 82^2 .

It is an emirp because it is prime and its reverse (31643) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34613 - 2^{6} = 34549 is a prime.

It is an Ulam number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 34591 and 34600.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17306 + 17307.

It is an arithmetic number, because the mean of its divisors is an integer number (17307).

2^{34613} is an apocalyptic number.

It is an amenable number.

34613 is a deficient number, since it is larger than the sum of its proper divisors (1).

34613 is an equidigital number, since it uses as much as digits as its factorization.

34613 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216, while the sum is 17.

The square root of 34613 is about 186.0456933122. The cubic root of 34613 is about 32.5896538360.

The spelling of 34613 in words is "thirty-four thousand, six hundred thirteen".

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