82021617 has 24 divisors (see below), whose sum is σ = 126046440. Its totient is φ = 51217920.

The previous prime is 82021603. The next prime is 82021619. The reversal of 82021617 is 71612028.

82021617 is a `hidden beast` number, since 8 + 20 + 21 + 617 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48566961 + 33454656 = 6969^2 + 5784^2 .

It is not a de Polignac number, because 82021617 - 2¹² = 82017521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82021619) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33867 + ... + 36207.

It is an arithmetic number, because the mean of its divisors is an integer number (5251935).

Almost surely, 2^82021617 is an apocalyptic number.

It is an amenable number.

82021617 is a deficient number, since it is larger than the sum of its proper divisors (44024823).

82021617 is a wasteful number, since it uses less digits than its factorization.

82021617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 82021617 is about 9056.5786586326. The cubic root of 82021617 is about 434.4863219122.

The spelling of 82021617 in words is "eighty-two million, twenty-one thousand, six hundred seventeen".