82053504 has 96 divisors (see below), whose sum is σ = 254326800. Its totient is φ = 25242624.

The previous prime is 82053473. The next prime is 82053523. The reversal of 82053504 is 40535028.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12237 + ... + 17715.

Almost surely, 2^82053504 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 82053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127163400).

82053504 is an abundant number, since it is smaller than the sum of its proper divisors (172273296).

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

82053504 is a wasteful number, since it uses less digits than its factorization.

82053504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5512 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 82053504 is about 9058.3389205748. The cubic root of 82053504 is about 434.5426187392.

The spelling of 82053504 in words is "eighty-two million, fifty-three thousand, five hundred four".