82181504 has 32 divisors (see below), whose sum is σ = 165433800. Its totient is φ = 40660992.

The previous prime is 82181501. The next prime is 82181509. The reversal of 82181504 is 40518128.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82181501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9107 + ... + 15725.

Almost surely, 2^82181504 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 82181504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82716900).

82181504 is an abundant number, since it is smaller than the sum of its proper divisors (83252296).

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

82181504 is an equidigital number, since it uses as much as digits as its factorization.

82181504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6730 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 82181504 is about 9065.4014803538. The cubic root of 82181504 is about 434.7684573898.

The spelling of 82181504 in words is "eighty-two million, one hundred eighty-one thousand, five hundred four".