34953013 has 2 divisors, whose sum is σ = 34953014. Its totient is φ = 34953012.

The previous prime is 34953011. The next prime is 34953041. The reversal of 34953013 is 31035943.

34953013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (34953041) can be obtained adding 34953013 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28281124 + 6671889 = 5318^2 + 2583^2 .

It is a cyclic number.

It is not a de Polignac number, because 34953013 - 2¹ = 34953011 is a prime.

Together with 34953011, 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 (34953011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17476506 + 17476507.

It is an arithmetic number, because the mean of its divisors is an integer number (17476507).

Almost surely, 2^34953013 is an apocalyptic number.

It is an amenable number.

34953013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34953013 is an equidigital number, since it uses as much as digits as its factorization.

34953013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 34953013 is about 5912.1073231125. The cubic root of 34953013 is about 326.9601868065.

Adding to 34953013 its reverse (31035943), we get a palindrome (65988956).

The spelling of 34953013 in words is "thirty-four million, nine hundred fifty-three thousand, thirteen".