83600113 has 2 divisors, whose sum is σ = 83600114. Its totient is φ = 83600112.

The previous prime is 83600071. The next prime is 83600119. The reversal of 83600113 is 31100638.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59166864 + 24433249 = 7692^2 + 4943^2 .

It is a cyclic number.

It is not a de Polignac number, because 83600113 - 2¹⁷ = 83469041 is a prime.

It is a super-2 number, since 2×83600113² = 13977957787225538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (83600119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41800056 + 41800057.

It is an arithmetic number, because the mean of its divisors is an integer number (41800057).

Almost surely, 2^83600113 is an apocalyptic number.

It is an amenable number.

83600113 is a deficient number, since it is larger than the sum of its proper divisors (1).

83600113 is an equidigital number, since it uses as much as digits as its factorization.

83600113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 83600113 is about 9143.3097399137. The cubic root of 83600113 is about 437.2558428698.

The spelling of 83600113 in words is "eighty-three million, six hundred thousand, one hundred thirteen".