82521593 has 16 divisors (see below), whose sum is σ = 104576640. Its totient is φ = 63244800.

The previous prime is 82521577. The next prime is 82521623. The reversal of 82521593 is 39512528.

It is not a de Polignac number, because 82521593 - 2⁴ = 82521577 is a prime.

It is a super-2 number, since 2×82521593² = 13619626622515298, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82520593) 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 15 ways as a sum of consecutive naturals, for example, 4088 + ... + 13481.

It is an arithmetic number, because the mean of its divisors is an integer number (6536040).

Almost surely, 2^82521593 is an apocalyptic number.

It is an amenable number.

82521593 is a deficient number, since it is larger than the sum of its proper divisors (22055047).

82521593 is a wasteful number, since it uses less digits than its factorization.

82521593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17648.

The product of its digits is 21600, while the sum is 35.

The square root of 82521593 is about 9084.1396400540. The cubic root of 82521593 is about 435.3673613159.

The spelling of 82521593 in words is "eighty-two million, five hundred twenty-one thousand, five hundred ninety-three".