82583415 has 16 divisors (see below), whose sum is σ = 146815200. Its totient is φ = 44044416.

The previous prime is 82583377. The next prime is 82583419. The reversal of 82583415 is 51438528.

It is a happy number.

It is not a de Polignac number, because 82583415 - 2⁶ = 82583351 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82583415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82583419) 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, 305730 + ... + 305999.

It is an arithmetic number, because the mean of its divisors is an integer number (9175950).

Almost surely, 2^82583415 is an apocalyptic number.

82583415 is a deficient number, since it is larger than the sum of its proper divisors (64231785).

82583415 is a wasteful number, since it uses less digits than its factorization.

82583415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611743 (or 611737 counting only the distinct ones).

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

The square root of 82583415 is about 9087.5417468092. The cubic root of 82583415 is about 435.4760543320.

The spelling of 82583415 in words is "eighty-two million, five hundred eighty-three thousand, four hundred fifteen".