34001983 has 2 divisors, whose sum is σ = 34001984. Its totient is φ = 34001982.

The previous prime is 34001969. The next prime is 34001987. The reversal of 34001983 is 38910043.

34001983 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34001983 is a prime.

It is a super-2 number, since 2×34001983² = 2312269695864578, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34001987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17000991 + 17000992.

It is an arithmetic number, because the mean of its divisors is an integer number (17000992).

Almost surely, 2^34001983 is an apocalyptic number.

34001983 is a deficient number, since it is larger than the sum of its proper divisors (1).

34001983 is an equidigital number, since it uses as much as digits as its factorization.

34001983 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 34001983 is about 5831.1219332132. The cubic root of 34001983 is about 323.9674781918.

The spelling of 34001983 in words is "thirty-four million, one thousand, nine hundred eighty-three".