83114617121 has 2 divisors, whose sum is σ = 83114617122. Its totient is φ = 83114617120.

The previous prime is 83114617093. The next prime is 83114617129. The reversal of 83114617121 is 12171641138.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83067886225 + 46730896 = 288215^2 + 6836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83114617121 is a prime.

It is a super-3 number, since 3×83114617121³ (a number of 34 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (83114617129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41557308560 + 41557308561.

It is an arithmetic number, because the mean of its divisors is an integer number (41557308561).

Almost surely, 2^83114617121 is an apocalyptic number.

It is an amenable number.

83114617121 is a deficient number, since it is larger than the sum of its proper divisors (1).

83114617121 is an equidigital number, since it uses as much as digits as its factorization.

83114617121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064, while the sum is 35.

The spelling of 83114617121 in words is "eighty-three billion, one hundred fourteen million, six hundred seventeen thousand, one hundred twenty-one".