82171617 has 16 divisors (see below), whose sum is σ = 124720128. Its totient is φ = 47635280.

The previous prime is 82171603. The next prime is 82171619. The reversal of 82171617 is 71617128.

It is not a de Polignac number, because 82171617 - 2⁶ = 82171553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (82171619) 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, 53373 + ... + 54890.

It is an arithmetic number, because the mean of its divisors is an integer number (7795008).

Almost surely, 2^82171617 is an apocalyptic number.

It is an amenable number.

82171617 is a deficient number, since it is larger than the sum of its proper divisors (42548511).

82171617 is a wasteful number, since it uses less digits than its factorization.

82171617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108300.

The product of its digits is 4704, while the sum is 33.

The square root of 82171617 is about 9064.8561488862. The cubic root of 82171617 is about 434.7510214790.

The spelling of 82171617 in words is "eighty-two million, one hundred seventy-one thousand, six hundred seventeen".