82772103377 has 2 divisors, whose sum is σ = 82772103378. Its totient is φ = 82772103376.

The previous prime is 82772103373. The next prime is 82772103389. The reversal of 82772103377 is 77330127728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79033514641 + 3738588736 = 281129^2 + 61144^2 .

It is a cyclic number.

It is not a de Polignac number, because 82772103377 - 2² = 82772103373 is a prime.

It is a super-3 number, since 3×82772103377³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (82772103373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41386051688 + 41386051689.

It is an arithmetic number, because the mean of its divisors is an integer number (41386051689).

Almost surely, 2^82772103377 is an apocalyptic number.

It is an amenable number.

82772103377 is a deficient number, since it is larger than the sum of its proper divisors (1).

82772103377 is an equidigital number, since it uses as much as digits as its factorization.

82772103377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691488, while the sum is 47.

The spelling of 82772103377 in words is "eighty-two billion, seven hundred seventy-two million, one hundred three thousand, three hundred seventy-seven".