83457617 has 2 divisors, whose sum is σ = 83457618. Its totient is φ = 83457616.

The previous prime is 83457601. The next prime is 83457629. The reversal of 83457617 is 71675438.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75186241 + 8271376 = 8671^2 + 2876^2 .

It is a cyclic number.

It is not a de Polignac number, because 83457617 - 2⁴ = 83457601 is a prime.

It is equal to p_4859285 and since 83457617 and 4859285 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (83457637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41728808 + 41728809.

It is an arithmetic number, because the mean of its divisors is an integer number (41728809).

Almost surely, 2^83457617 is an apocalyptic number.

It is an amenable number.

83457617 is a deficient number, since it is larger than the sum of its proper divisors (1).

83457617 is an equidigital number, since it uses as much as digits as its factorization.

83457617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 141120, while the sum is 41.

The square root of 83457617 is about 9135.5140523125. The cubic root of 83457617 is about 437.0072680745.

The spelling of 83457617 in words is "eighty-three million, four hundred fifty-seven thousand, six hundred seventeen".