83417 has 2 divisors, whose sum is σ = 83418. Its totient is φ = 83416.

The previous prime is 83407. The next prime is 83423. The reversal of 83417 is 71438.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52441 + 30976 = 229^2 + 176^2 .

It is a cyclic number.

It is not a de Polignac number, because 83417 - 2⁴ = 83401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83392 and 83401.

It is not a weakly prime, because it can be changed into another prime (83407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41708 + 41709.

It is an arithmetic number, because the mean of its divisors is an integer number (41709).

2⁸³⁴¹⁷ is an apocalyptic number.

It is an amenable number.

83417 is a deficient number, since it is larger than the sum of its proper divisors (1).

83417 is an equidigital number, since it uses as much as digits as its factorization.

83417 is an odious number, because the sum of its binary digits is odd.

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

The square root of 83417 is about 288.8200131570. The cubic root of 83417 is about 43.6936362605.

The spelling of 83417 in words is "eighty-three thousand, four hundred seventeen".