34001713 has 2 divisors, whose sum is σ = 34001714. Its totient is φ = 34001712.

The previous prime is 34001707. The next prime is 34001719. The reversal of 34001713 is 31710043.

It is a balanced prime because it is at equal distance from previous prime (34001707) and next prime (34001719).

It can be written as a sum of positive squares in only one way, i.e., 22496049 + 11505664 = 4743^2 + 3392^2 .

It is an emirp because it is prime and its reverse (31710043) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34001713 is a prime.

It is a super-2 number, since 2×34001713² = 2312232973868738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34001719) 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, 17000856 + 17000857.

It is an arithmetic number, because the mean of its divisors is an integer number (17000857).

Almost surely, 2^34001713 is an apocalyptic number.

It is an amenable number.

34001713 is a deficient number, since it is larger than the sum of its proper divisors (1).

34001713 is an equidigital number, since it uses as much as digits as its factorization.

34001713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 34001713 is about 5831.0987815334. The cubic root of 34001713 is about 323.9666206786.

Adding to 34001713 its reverse (31710043), we get a palindrome (65711756).

The spelling of 34001713 in words is "thirty-four million, one thousand, seven hundred thirteen".