83084917 has 2 divisors, whose sum is σ = 83084918. Its totient is φ = 83084916.

The previous prime is 83084863. The next prime is 83084927. The reversal of 83084917 is 71948038.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47872561 + 35212356 = 6919^2 + 5934^2 .

It is a cyclic number.

It is not a de Polignac number, because 83084917 - 2⁷ = 83084789 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83084917.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83084927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41542458 + 41542459.

It is an arithmetic number, because the mean of its divisors is an integer number (41542459).

Almost surely, 2^83084917 is an apocalyptic number.

It is an amenable number.

83084917 is a deficient number, since it is larger than the sum of its proper divisors (1).

83084917 is an equidigital number, since it uses as much as digits as its factorization.

83084917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 83084917 is about 9115.0928135702. The cubic root of 83084917 is about 436.3557770667.

It can be divided in two parts, 8308 and 4917, that added together give a square (13225 = 115²).

The spelling of 83084917 in words is "eighty-three million, eighty-four thousand, nine hundred seventeen".