34034257 has 2 divisors, whose sum is σ = 34034258. Its totient is φ = 34034256.

The previous prime is 34034243. The next prime is 34034267. The reversal of 34034257 is 75243043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19219456 + 14814801 = 4384^2 + 3849^2 .

It is an emirp because it is prime and its reverse (75243043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34034257 - 2⁷ = 34034129 is a prime.

It is not a weakly prime, because it can be changed into another prime (34034207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17017128 + 17017129.

It is an arithmetic number, because the mean of its divisors is an integer number (17017129).

Almost surely, 2^34034257 is an apocalyptic number.

It is an amenable number.

34034257 is a deficient number, since it is larger than the sum of its proper divisors (1).

34034257 is an equidigital number, since it uses as much as digits as its factorization.

34034257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 34034257 is about 5833.8886688040. Note that the first 3 decimals coincide. The cubic root of 34034257 is about 324.0699469214.

The spelling of 34034257 in words is "thirty-four million, thirty-four thousand, two hundred fifty-seven".