83085187784201 has 2 divisors, whose sum is σ = 83085187784202. Its totient is φ = 83085187784200.

The previous prime is 83085187784101. The next prime is 83085187784233. The reversal of 83085187784201 is 10248778158038.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73337985337600 + 9747202446601 = 8563760^2 + 3122051^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83085187784201 is a prime.

It is a super-2 number, since 2×83085187784201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (83085187784101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41542593892100 + 41542593892101.

It is an arithmetic number, because the mean of its divisors is an integer number (41542593892101).

Almost surely, 2^{83085187784201} is an apocalyptic number.

It is an amenable number.

83085187784201 is a deficient number, since it is larger than the sum of its proper divisors (1).

83085187784201 is an equidigital number, since it uses as much as digits as its factorization.

83085187784201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24084480, while the sum is 62.

The spelling of 83085187784201 in words is "eighty-three trillion, eighty-five billion, one hundred eighty-seven million, seven hundred eighty-four thousand, two hundred one".