34001221337 has 2 divisors, whose sum is σ = 34001221338. Its totient is φ = 34001221336.

The previous prime is 34001221273. The next prime is 34001221339. The reversal of 34001221337 is 73312210043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33224540176 + 776681161 = 182276^2 + 27869^2 .

It is an emirp because it is prime and its reverse (73312210043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34001221337 - 2⁶ = 34001221273 is a prime.

Together with 34001221339, 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 (34001221339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17000610668 + 17000610669.

It is an arithmetic number, because the mean of its divisors is an integer number (17000610669).

Almost surely, 2^34001221337 is an apocalyptic number.

It is an amenable number.

34001221337 is a deficient number, since it is larger than the sum of its proper divisors (1).

34001221337 is an equidigital number, since it uses as much as digits as its factorization.

34001221337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

The spelling of 34001221337 in words is "thirty-four billion, one million, two hundred twenty-one thousand, three hundred thirty-seven".