82777131949 has 2 divisors, whose sum is σ = 82777131950. Its totient is φ = 82777131948.

The previous prime is 82777131889. The next prime is 82777131979. The reversal of 82777131949 is 94913177728.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49025930724 + 33751201225 = 221418^2 + 183715^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82777131949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82777131893 and 82777131902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82777131979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41388565974 + 41388565975.

It is an arithmetic number, because the mean of its divisors is an integer number (41388565975).

Almost surely, 2^82777131949 is an apocalyptic number.

It is an amenable number.

82777131949 is a deficient number, since it is larger than the sum of its proper divisors (1).

82777131949 is an equidigital number, since it uses as much as digits as its factorization.

82777131949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5334336, while the sum is 58.

The spelling of 82777131949 in words is "eighty-two billion, seven hundred seventy-seven million, one hundred thirty-one thousand, nine hundred forty-nine".