82410084 has 81 divisors (see below), whose sum is σ = 223803307. Its totient is φ = 25563648.

The previous prime is 82410073. The next prime is 82410103. The reversal of 82410084 is 48001428.

The square root of 82410084 is 9078.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 108900 + 82301184 = 330^2 + 9072^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 925912 + ... + 926000.

Almost surely, 2^82410084 is an apocalyptic number.

82410084 is the 9078-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82410084

82410084 is an abundant number, since it is smaller than the sum of its proper divisors (141393223).

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

82410084 is a wasteful number, since it uses less digits than its factorization.

82410084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The cubic root of 82410084 is about 435.1711732208.

The spelling of 82410084 in words is "eighty-two million, four hundred ten thousand, eighty-four".