82374309779737 has 2 divisors, whose sum is σ = 82374309779738. Its totient is φ = 82374309779736.

The previous prime is 82374309779731. The next prime is 82374309779759. The reversal of 82374309779737 is 73797790347328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82015863300121 + 358446479616 = 9056261^2 + 598704^2 .

It is a cyclic number.

It is not a de Polignac number, because 82374309779737 - 2²⁷ = 82374175562009 is a prime.

It is a super-2 number, since 2×82374309779737² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82374309779731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41187154889868 + 41187154889869.

It is an arithmetic number, because the mean of its divisors is an integer number (41187154889869).

Almost surely, 2^{82374309779737} is an apocalyptic number.

It is an amenable number.

82374309779737 is a deficient number, since it is larger than the sum of its proper divisors (1).

82374309779737 is an equidigital number, since it uses as much as digits as its factorization.

82374309779737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352442176, while the sum is 76.

The spelling of 82374309779737 in words is "eighty-two trillion, three hundred seventy-four billion, three hundred nine million, seven hundred seventy-nine thousand, seven hundred thirty-seven".