82715540 has 48 divisors (see below), whose sum is σ = 190285200. Its totient is φ = 30062592.

The previous prime is 82715539. The next prime is 82715551. The reversal of 82715540 is 4551728.

It can be written as a sum of positive squares in 8 ways, for example, as 6990736 + 75724804 = 2644^2 + 8702^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82715497 and 82715506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5666 + ... + 14054.

It is an arithmetic number, because the mean of its divisors is an integer number (3964275).

Almost surely, 2^82715540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82715540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95142600).

82715540 is an abundant number, since it is smaller than the sum of its proper divisors (107569660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82715540 is a wasteful number, since it uses less digits than its factorization.

82715540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444 (or 8442 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 82715540 is about 9094.8084091970. The cubic root of 82715540 is about 435.7081696074.

The spelling of 82715540 in words is "eighty-two million, seven hundred fifteen thousand, five hundred forty".