82506321 has 18 divisors (see below), whose sum is σ = 126602502. Its totient is φ = 51767040.

The previous prime is 82506301. The next prime is 82506329. The reversal of 82506321 is 12360528.

82506321 is a `hidden beast` number, since 8 + 25 + 0 + 632 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11289600 + 71216721 = 3360^2 + 8439^2 .

It is not a de Polignac number, because 82506321 - 2¹⁵ = 82473553 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82506329) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13260 + ... + 18461.

Almost surely, 2^82506321 is an apocalyptic number.

It is an amenable number.

82506321 is a deficient number, since it is larger than the sum of its proper divisors (44096181).

82506321 is a wasteful number, since it uses less digits than its factorization.

82506321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31761 (or 31741 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82506321 is about 9083.2990152257. The cubic root of 82506321 is about 435.3405023234.

Adding to 82506321 its reverse (12360528), we get a palindrome (94866849).

The spelling of 82506321 in words is "eighty-two million, five hundred six thousand, three hundred twenty-one".