34056101 has 2 divisors, whose sum is σ = 34056102. Its totient is φ = 34056100.

The previous prime is 34056041. The next prime is 34056103. The reversal of 34056101 is 10165043.

34056101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32433025 + 1623076 = 5695^2 + 1274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34056101 is a prime.

Together with 34056103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34056103) 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, 17028050 + 17028051.

It is an arithmetic number, because the mean of its divisors is an integer number (17028051).

Almost surely, 2^34056101 is an apocalyptic number.

It is an amenable number.

34056101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34056101 is an equidigital number, since it uses as much as digits as its factorization.

34056101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 34056101 is about 5835.7605331268. The cubic root of 34056101 is about 324.1392640409.

The spelling of 34056101 in words is "thirty-four million, fifty-six thousand, one hundred one".