83705953739657 has 2 divisors, whose sum is σ = 83705953739658. Its totient is φ = 83705953739656.

The previous prime is 83705953739549. The next prime is 83705953739711. The reversal of 83705953739657 is 75693735950738.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83671706906176 + 34246833481 = 9147224^2 + 185059^2 .

It is a cyclic number.

It is not a de Polignac number, because 83705953739657 - 2³⁰ = 83704879997833 is a prime.

It is a super-4 number, since 4×83705953739657⁴ (a number of 57 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (83705953739857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41852976869828 + 41852976869829.

It is an arithmetic number, because the mean of its divisors is an integer number (41852976869829).

Almost surely, 2^{83705953739657} is an apocalyptic number.

It is an amenable number.

83705953739657 is a deficient number, since it is larger than the sum of its proper divisors (1).

83705953739657 is an equidigital number, since it uses as much as digits as its factorization.

83705953739657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4500846000, while the sum is 77.

The spelling of 83705953739657 in words is "eighty-three trillion, seven hundred five billion, nine hundred fifty-three million, seven hundred thirty-nine thousand, six hundred fifty-seven".