83121327685817 has 2 divisors, whose sum is σ = 83121327685818. Its totient is φ = 83121327685816.

The previous prime is 83121327685793. The next prime is 83121327685859. The reversal of 83121327685817 is 71858672312138.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76336287340096 + 6785040345721 = 8737064^2 + 2604811^2 .

It is a cyclic number.

It is not a de Polignac number, because 83121327685817 - 2¹⁴ = 83121327669433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83121327685817.

It is not a weakly prime, because it can be changed into another prime (83121327682817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41560663842908 + 41560663842909.

It is an arithmetic number, because the mean of its divisors is an integer number (41560663842909).

Almost surely, 2^{83121327685817} is an apocalyptic number.

It is an amenable number.

83121327685817 is a deficient number, since it is larger than the sum of its proper divisors (1).

83121327685817 is an equidigital number, since it uses as much as digits as its factorization.

83121327685817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27095040, while the sum is 62.

The spelling of 83121327685817 in words is "eighty-three trillion, one hundred twenty-one billion, three hundred twenty-seven million, six hundred eighty-five thousand, eight hundred seventeen".