82165077 has 16 divisors (see below), whose sum is σ = 123396480. Its totient is φ = 54025056.

The previous prime is 82165073. The next prime is 82165079. The reversal of 82165077 is 77056128.

It is not a de Polignac number, because 82165077 - 2² = 82165073 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82165073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18873 + ... + 22814.

It is an arithmetic number, because the mean of its divisors is an integer number (7712280).

Almost surely, 2^82165077 is an apocalyptic number.

It is an amenable number.

82165077 is a deficient number, since it is larger than the sum of its proper divisors (41231403).

82165077 is a wasteful number, since it uses less digits than its factorization.

82165077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41769 (or 41763 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 82165077 is about 9064.4954079088. The cubic root of 82165077 is about 434.7394872972.

The spelling of 82165077 in words is "eighty-two million, one hundred sixty-five thousand, seventy-seven".