82081152 has 96 divisors (see below), whose sum is σ = 241835880. Its totient is φ = 26707968.

The previous prime is 82081093. The next prime is 82081169. The reversal of 82081152 is 25118028.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48708 + ... + 50364.

Almost surely, 2^82081152 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 82081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120917940).

82081152 is an abundant number, since it is smaller than the sum of its proper divisors (159754728).

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

82081152 is a wasteful number, since it uses less digits than its factorization.

82081152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 82081152 is about 9059.8648996550. The cubic root of 82081152 is about 434.5914197637.

The spelling of 82081152 in words is "eighty-two million, eighty-one thousand, one hundred fifty-two".