82165527 has 12 divisors (see below), whose sum is σ = 118762800. Its totient is φ = 54740448.

The previous prime is 82165511. The next prime is 82165547. The reversal of 82165527 is 72556128.

It is a happy number.

It is not a de Polignac number, because 82165527 - 2⁴ = 82165511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82165491 and 82165500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82165507) 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 11 ways as a sum of consecutive naturals, for example, 22099 + ... + 25547.

It is an arithmetic number, because the mean of its divisors is an integer number (9896900).

Almost surely, 2^82165527 is an apocalyptic number.

82165527 is a deficient number, since it is larger than the sum of its proper divisors (36597273).

82165527 is a wasteful number, since it uses less digits than its factorization.

82165527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102 (or 6099 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 82165527 is about 9064.5202299956. The cubic root of 82165527 is about 434.7402809531.

The spelling of 82165527 in words is "eighty-two million, one hundred sixty-five thousand, five hundred twenty-seven".