34800613 has 2 divisors, whose sum is σ = 34800614. Its totient is φ = 34800612.

The previous prime is 34800611. The next prime is 34800637. The reversal of 34800613 is 31600843.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29408929 + 5391684 = 5423^2 + 2322^2 .

It is an emirp because it is prime and its reverse (31600843) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34800613 - 2¹ = 34800611 is a prime.

It is a super-2 number, since 2×34800613² = 2422165330351538, which contains 22 as substring.

Together with 34800611, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34800611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17400306 + 17400307.

It is an arithmetic number, because the mean of its divisors is an integer number (17400307).

Almost surely, 2^34800613 is an apocalyptic number.

It is an amenable number.

34800613 is a deficient number, since it is larger than the sum of its proper divisors (1).

34800613 is an equidigital number, since it uses as much as digits as its factorization.

34800613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 34800613 is about 5899.2044378882. The cubic root of 34800613 is about 326.4842971841.

The spelling of 34800613 in words is "thirty-four million, eight hundred thousand, six hundred thirteen".