82009767 has 32 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 44997120.

The previous prime is 82009703. The next prime is 82009813. The reversal of 82009767 is 76790028.

It is not a de Polignac number, because 82009767 - 2⁶ = 82009703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82009267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189183 + ... + 189615.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^82009767 is an apocalyptic number.

82009767 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

82009767 is a deficient number, since it is larger than the sum of its proper divisors (47981913).

82009767 is a wasteful number, since it uses less digits than its factorization.

82009767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783.

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 82009767 is about 9055.9244144372. The cubic root of 82009767 is about 434.4653968964.

The spelling of 82009767 in words is "eighty-two million, nine thousand, seven hundred sixty-seven".