34137017 has 2 divisors, whose sum is σ = 34137018. Its totient is φ = 34137016.

The previous prime is 34137011. The next prime is 34137029. The reversal of 34137017 is 71073143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32444416 + 1692601 = 5696^2 + 1301^2 .

It is a cyclic number.

It is not a de Polignac number, because 34137017 - 2⁴ = 34137001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34137011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17068508 + 17068509.

It is an arithmetic number, because the mean of its divisors is an integer number (17068509).

Almost surely, 2^34137017 is an apocalyptic number.

It is an amenable number.

34137017 is a deficient number, since it is larger than the sum of its proper divisors (1).

34137017 is an equidigital number, since it uses as much as digits as its factorization.

34137017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 34137017 is about 5842.6891924866. The cubic root of 34137017 is about 324.3957751800.

The spelling of 34137017 in words is "thirty-four million, one hundred thirty-seven thousand, seventeen".