82181536 has 48 divisors (see below), whose sum is σ = 180351360. Its totient is φ = 36633600.

The previous prime is 82181509. The next prime is 82181543. The reversal of 82181536 is 63518128.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6361 + ... + 14311.

It is an arithmetic number, because the mean of its divisors is an integer number (3757320).

Almost surely, 2^82181536 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 82181536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90175680).

82181536 is an abundant number, since it is smaller than the sum of its proper divisors (98169824).

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

82181536 is a wasteful number, since it uses less digits than its factorization.

82181536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7997 (or 7989 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 82181536 is about 9065.4032453057. The cubic root of 82181536 is about 434.7685138202.

The spelling of 82181536 in words is "eighty-two million, one hundred eighty-one thousand, five hundred thirty-six".