34913 has 2 divisors, whose sum is σ = 34914. Its totient is φ = 34912.

The previous prime is 34897. The next prime is 34919. The reversal of 34913 is 31943.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 5329 = 172^2 + 73^2 .

It is a cyclic number.

It is not a de Polignac number, because 34913 - 2⁴ = 34897 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (34919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17456 + 17457.

It is an arithmetic number, because the mean of its divisors is an integer number (17457).

2³⁴⁹¹³ is an apocalyptic number.

It is an amenable number.

34913 is a deficient number, since it is larger than the sum of its proper divisors (1).

34913 is an equidigital number, since it uses as much as digits as its factorization.

34913 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 20.

The square root of 34913 is about 186.8502073855. The cubic root of 34913 is about 32.6835374931.

The spelling of 34913 in words is "thirty-four thousand, nine hundred thirteen".