83400017 has 2 divisors, whose sum is σ = 83400018. Its totient is φ = 83400016.

The previous prime is 83399999. The next prime is 83400041. The reversal of 83400017 is 71000438.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42042256 + 41357761 = 6484^2 + 6431^2 .

It is a cyclic number.

It is not a de Polignac number, because 83400017 - 2¹⁰ = 83398993 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 83399965 and 83400001.

It is not a weakly prime, because it can be changed into another prime (83400067) 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, 41700008 + 41700009.

It is an arithmetic number, because the mean of its divisors is an integer number (41700009).

Almost surely, 2^83400017 is an apocalyptic number.

It is an amenable number.

83400017 is a deficient number, since it is larger than the sum of its proper divisors (1).

83400017 is an equidigital number, since it uses as much as digits as its factorization.

83400017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 83400017 is about 9132.3609762208. The cubic root of 83400017 is about 436.9067084025.

The spelling of 83400017 in words is "eighty-three million, four hundred thousand, seventeen".