82777849 has 16 divisors (see below), whose sum is σ = 103602816. Its totient is φ = 64252800.

The previous prime is 82777847. The next prime is 82777853. The reversal of 82777849 is 94877728.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 82777849 - 2¹ = 82777847 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82777796 and 82777805.

It is not an unprimeable number, because it can be changed into a prime (82777841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19389 + ... + 23269.

It is an arithmetic number, because the mean of its divisors is an integer number (6475176).

Almost surely, 2^82777849 is an apocalyptic number.

It is an amenable number.

82777849 is a deficient number, since it is larger than the sum of its proper divisors (20824967).

82777849 is a wasteful number, since it uses less digits than its factorization.

82777849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176.

The product of its digits is 1580544, while the sum is 52.

The square root of 82777849 is about 9098.2332900404. The cubic root of 82777849 is about 435.8175473868.

The spelling of 82777849 in words is "eighty-two million, seven hundred seventy-seven thousand, eight hundred forty-nine".