82538415 has 24 divisors (see below), whose sum is σ = 143470080. Its totient is φ = 43896384.

The previous prime is 82538389. The next prime is 82538447. The reversal of 82538415 is 51483528.

It is a happy number.

82538415 is a `hidden beast` number, since 82 + 538 + 41 + 5 = 666.

It is not a de Polignac number, because 82538415 - 2¹⁰ = 82537391 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82538415.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14841 + ... + 19629.

It is an arithmetic number, because the mean of its divisors is an integer number (5977920).

Almost surely, 2^82538415 is an apocalyptic number.

82538415 is a deficient number, since it is larger than the sum of its proper divisors (60931665).

82538415 is a wasteful number, since it uses less digits than its factorization.

82538415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183 (or 5180 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 82538415 is about 9085.0654923341. The cubic root of 82538415 is about 435.3969424712.

The spelling of 82538415 in words is "eighty-two million, five hundred thirty-eight thousand, four hundred fifteen".