34351001 has 2 divisors, whose sum is σ = 34351002. Its totient is φ = 34351000.

The previous prime is 34350973. The next prime is 34351003. The reversal of 34351001 is 10015343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32501401 + 1849600 = 5701^2 + 1360^2 .

It is a cyclic number.

It is not a de Polignac number, because 34351001 - 2¹⁴ = 34334617 is a prime.

Together with 34351003, 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 (34351003) 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, 17175500 + 17175501.

It is an arithmetic number, because the mean of its divisors is an integer number (17175501).

Almost surely, 2^34351001 is an apocalyptic number.

It is an amenable number.

34351001 is a deficient number, since it is larger than the sum of its proper divisors (1).

34351001 is an equidigital number, since it uses as much as digits as its factorization.

34351001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 34351001 is about 5860.9727008407. The cubic root of 34351001 is about 325.0721764747.

Adding to 34351001 its reverse (10015343), we get a palindrome (44366344).

The spelling of 34351001 in words is "thirty-four million, three hundred fifty-one thousand, one".