34138241 has 2 divisors, whose sum is σ = 34138242. Its totient is φ = 34138240.

The previous prime is 34138219. The next prime is 34138253. The reversal of 34138241 is 14283143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28944400 + 5193841 = 5380^2 + 2279^2 .

It is a cyclic number.

It is not a de Polignac number, because 34138241 - 2¹⁸ = 33876097 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34138241.

It is not a weakly prime, because it can be changed into another prime (34138211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17069120 + 17069121.

It is an arithmetic number, because the mean of its divisors is an integer number (17069121).

Almost surely, 2^34138241 is an apocalyptic number.

It is an amenable number.

34138241 is a deficient number, since it is larger than the sum of its proper divisors (1).

34138241 is an equidigital number, since it uses as much as digits as its factorization.

34138241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2304, while the sum is 26.

The square root of 34138241 is about 5842.7939378349. The cubic root of 34138241 is about 324.3996522585.

The spelling of 34138241 in words is "thirty-four million, one hundred thirty-eight thousand, two hundred forty-one".