82057767 has 32 divisors (see below), whose sum is σ = 126337536. Its totient is φ = 46886400.

The previous prime is 82057763. The next prime is 82057819. The reversal of 82057767 is 76775028.

It is not a de Polignac number, because 82057767 - 2² = 82057763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82057763) 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, 54667 + ... + 56147.

It is an arithmetic number, because the mean of its divisors is an integer number (3948048).

Almost surely, 2^82057767 is an apocalyptic number.

82057767 is a deficient number, since it is larger than the sum of its proper divisors (44279769).

82057767 is a wasteful number, since it uses less digits than its factorization.

82057767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591.

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 82057767 is about 9058.5742255611. The cubic root of 82057767 is about 434.5501440043.

The spelling of 82057767 in words is "eighty-two million, fifty-seven thousand, seven hundred sixty-seven".