34105541 has 2 divisors, whose sum is σ = 34105542. Its totient is φ = 34105540.

The previous prime is 34105531. The next prime is 34105543. The reversal of 34105541 is 14550143.

34105541 = 4129² + 4130².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17056900 + 17048641 = 4130^2 + 4129^2 .

It is a cyclic number.

It is not a de Polignac number, because 34105541 - 2²² = 29911237 is a prime.

Together with 34105543, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_2095421 and since 34105541 and 2095421 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34105543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17052770 + 17052771.

It is an arithmetic number, because the mean of its divisors is an integer number (17052771).

Almost surely, 2^34105541 is an apocalyptic number.

34105541 is the 4130-th centered square number.

It is an amenable number.

34105541 is a deficient number, since it is larger than the sum of its proper divisors (1).

34105541 is an equidigital number, since it uses as much as digits as its factorization.

34105541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 34105541 is about 5839.9949486280. The cubic root of 34105541 is about 324.2960415948.

Adding to 34105541 its reverse (14550143), we get a palindrome (48655684).

The spelling of 34105541 in words is "thirty-four million, one hundred five thousand, five hundred forty-one".