34115441 has 2 divisors, whose sum is σ = 34115442. Its totient is φ = 34115440.

The previous prime is 34115381. The next prime is 34115449. The reversal of 34115441 is 14451143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33686416 + 429025 = 5804^2 + 655^2 .

It is a cyclic number.

It is not a de Polignac number, because 34115441 - 2¹⁴ = 34099057 is a prime.

It is a super-3 number, since 3×34115441³ (a number of 24 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34115449) 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, 17057720 + 17057721.

It is an arithmetic number, because the mean of its divisors is an integer number (17057721).

Almost surely, 2^34115441 is an apocalyptic number.

It is an amenable number.

34115441 is a deficient number, since it is larger than the sum of its proper divisors (1).

34115441 is an equidigital number, since it uses as much as digits as its factorization.

34115441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 960, while the sum is 23.

The square root of 34115441 is about 5840.8424906001. The cubic root of 34115441 is about 324.3274169483.

Adding to 34115441 its reverse (14451143), we get a palindrome (48566584).

The spelling of 34115441 in words is "thirty-four million, one hundred fifteen thousand, four hundred forty-one".