34006601 has 2 divisors, whose sum is σ = 34006602. Its totient is φ = 34006600.

The previous prime is 34006591. The next prime is 34006603. The reversal of 34006601 is 10660043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29986576 + 4020025 = 5476^2 + 2005^2 .

It is a cyclic number.

It is not a de Polignac number, because 34006601 - 2⁶ = 34006537 is a prime.

Together with 34006603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34006603) 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, 17003300 + 17003301.

It is an arithmetic number, because the mean of its divisors is an integer number (17003301).

Almost surely, 2^34006601 is an apocalyptic number.

It is an amenable number.

34006601 is a deficient number, since it is larger than the sum of its proper divisors (1).

34006601 is an equidigital number, since it uses as much as digits as its factorization.

34006601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 34006601 is about 5831.5178984549. The cubic root of 34006601 is about 323.9821441412.

Adding to 34006601 its reverse (10660043), we get a palindrome (44666644).

It can be divided in two parts, 3400 and 6601, that added together give a palindrome (10001).

The spelling of 34006601 in words is "thirty-four million, six thousand, six hundred one".